Order of Operations

To solve for the unknown variable (x, y, z, or other letter) simplify the equation in the following order. First calculate what is in parentheses, then calculate the exponents and roots, then calculate the multiplication and division from left to right, and finally calculate addition and subtraction from left to right.

(),[],{} Parentheses, Brackets, Braces (apply from innermost to outermost)

x^{1,2,...n},√ Exponents, Radicals, Orders

×, ÷ Multiplication, Division (apply left to right)

+,- Addition,Subtraction (apply left to right)

Step 1

First simplify the left side of the equation by splitting it into two smaller equations.

Step 1

Step 2

Simplify the equation by multiplying the contents in the parenthesis.

Step 3

Simplify the equation by multiplying the contents in the parenthesis.

Step 3

Step 4

Put the simplified statements from Steps 2 and 3 back into the whole equation and simplify.

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Simplify the equation by adding and subtracting the **like terms**. This means combining the numbers with numbers and the specific variables with the same specific variables.

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Step 5

Apply operation ().

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Step 6

Apply operation ().

Step 7

Put the simplified values from Steps 5 and 6 back into the whole equation and continue to simplify and solve.

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Isolate the variable by adding values to both sides of the equation equally so that no numbers are left on the side with the variable.

Step 8

Now solve for the unknown by applying the operation (division) to both sides of the equation equally.

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Answer

Check your answer by replacing the variable in the original equation with its value.

Check Your Answer

Replace the variable (var) with its value (value).

Equation

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Equation

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Equation

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Equation