Quick-Start Guide
When you enter an equation into the calculator, the calculator will begin by expanding (simplifying) the problem. Then it will attempt to solve the equation by using one or more of the following: addition, subtraction, division, taking the square root of each side, factoring, and completing the square.
Variables
Any lowercase letter may be used as a variable.
Answer to: Simplify: 3 + 4 8 (5 times 5 - 20) - 39 By signing up, you'll get thousands of step-by-step solutions to your homework questions. Download and Import Official MakerGear Profiles for Simplify3D 4.0 Introduction & Definitions Profile: Simplify 3D allows you to import new presets so that you can print different materials and with different machine configurations. What is 3/4 Simplified? - 3/4 is the simplified fraction for 3/4. Simplify 3/4 to the simplest form. Online simplify fractions calculator to reduce 3/4 to the lowest terms quickly and easily.
Exponents
Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses.
This deals with raising to a power. Overview; Steps; Topics Terms and topics; Links Related links; 1 result(s) found. Step by Step Solution: Step 1: Equation at the end of step 1: (0 - (3ab 3)) 4 Step 2: 2.1 b 3 raised to the 4 th power = b ( 3. 4 ) = b 12. Final result: 3 4 a 4. Another example of expression that the calculator is able to simplify `1+2-5/3`, to reduce this expression, enter simplify(`1+2-5/3`), after calculating the result `4/3` is returned. Simplify fractions.
Parentheses and Brackets
Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.
Multiplication, Addition, and Subtraction
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).
Order of Operations
The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error.
Division, Square Root, Radicals, Fractions
The above features are not supported.
Tutoring
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Related Pages
Isolate A Variable
Algebraic Expressions
More Algebra Lessons
The following diagrams show how to combine like terms to simplify an expression. Scroll down the page for more examples and solutions.
Combine Like Terms
Like terms are terms that have the same variable part, i.e. they only differ in their coefficients. Combining like terms is very often required in the process of simplifying equations. Things 3 8 5 x 12.
For examples:
2x and –5x are like terms.
a and are like terms.
6x and 5y are unlike terms.
Like terms can be added or subtracted from one another.
For example:
a + a = 2 × a = 2a (We usually write 2 × a as 2a)
2a + 4a = 6a
a + a + a = 3a
2a + 4 (Unlike terms cannot be simplified)
4a + 3b (Unlike terms cannot be simplified)
6a – 3a = 3a
8b – 8b = 0
5a – 3 (Unlike terms cannot be simplified)
6a – 4b (Unlike terms cannot be simplified)
Example 1:
Simplify: 8xy – 5yx = 1
5a – 3 (Unlike terms cannot be simplified)
6a – 4b (Unlike terms cannot be simplified)
Example 1:
Simplify: 8xy – 5yx = 1
Solution:
Step 1: 5yx is the same as 5xy using the commutative property
Step 2: Since the right side is already simple, we can work on the left side expression
8xy – 5yx = 8xy – 5xy = 3xy
Putting back the left side and right side of the equation:
3xy = 1
Answer: 3xy = 1
Example 2:
Simplify: 7a + 5b – 6b + 8a + 2b = 0
Solution:
Step 1: Group together the like terms:
7a + 5b – 6b + 8a + 2b = 0
(7a + 8a) + (5b – 6b + 2b) = 0
Step 2: Then simplify:
15a + b = 0
Answer: 15a + b = 0
How To Solve An Equation By Combining Like Terms?
- Show Video Lesson
Multiplication And Division Of Terms
The coefficients and variables of terms can be multiplied or divided together in the process of simplifying equations.
For examples:
3 × 4b = 3 × 4 × b = 12b
5a × 3a = 5 × a × 3 × a = 5 × 3 × a × a = 15a2 (using exponents)
Be careful!
a × a = a2< br>a + a = 2a
Example 1:
Simplify: 4a × 5a ÷ 2a = 60
Can You Simplify 4 3
Solution:
Step 1: Perform the multiplication and division
Step 2:Isolatea
Answer:a = 6
How To Solve Equations Using Multiplication Or Division?
Removal Of Brackets - Distributive Property
Sometimes removing brackets (parenthesis) allows us to simplify the expression. Brackets can be removed by using the distributive property. This is often useful in simplifying equations.
For example:
3(a – 3) + 4 = 3 × a + 3 × (-3) + 4 = 3a – 9 + 4 = 3a – 5
Can You Simplify 1 6
5 – 6 (b + 1) = 5 + ( – 6 ) × b + (– 6) × 1 = 5 – 6b – 6 = – 6b – 1
Example 1:
Simplify: 5(a – 4) + 3 = 8
Solution:
Step 1: Remove the brackets
5a – 20 + 3 = 8
Step 2: Isolate variable a
5a = 8 – 3 + 20
5a = 25
Soulver 2 6 3.
Answer:a = 5
How To Solve An Equation By The Distributive Property?
Cross Multiplication
Cross multiplication allows you to remove denominators from fractions in an equation. Note that this technique applies only towards simplifying equations, not to simplifying expressions.
For example, if you have the equation:
then you can multiply the numerator of one fraction with the denominator of the other fraction (across the = sign) as shown:
to obtain the equation
(2 × 6) = a × 3
Example 1:
Simplify:
Solution:
Step 1:Cross Multiply
4 × a = 8 × 5
4a = 40
Step 2: Isolate variable a
Answer: a = 10
How To Solve Equations Easily By Cross-Multiplying When There Are Two Fractions
- Show Video Lesson
How To Solve Fraction Equations By Isolating The Variable Using Inverse Operations?
Have a look at the following video for more examples on simplifying equations.
How To Simplify And Solve Equations?
- Show Video Lesson
Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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