Basic Math Examples

Solve for z z/6-z/3=z/12
Step 1
Multiply both sides by .
Step 2
Simplify.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Simplify .
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Step 2.1.1.1
To write as a fraction with a common denominator, multiply by .
Step 2.1.1.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.1.1.2.1
Multiply by .
Step 2.1.1.2.2
Multiply by .
Step 2.1.1.3
Combine the numerators over the common denominator.
Step 2.1.1.4
Simplify the numerator.
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Step 2.1.1.4.1
Factor out of .
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Step 2.1.1.4.1.1
Raise to the power of .
Step 2.1.1.4.1.2
Factor out of .
Step 2.1.1.4.1.3
Factor out of .
Step 2.1.1.4.1.4
Factor out of .
Step 2.1.1.4.2
Multiply by .
Step 2.1.1.4.3
Subtract from .
Step 2.1.1.5
Reduce the expression by cancelling the common factors.
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Step 2.1.1.5.1
Cancel the common factor of .
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Step 2.1.1.5.1.1
Factor out of .
Step 2.1.1.5.1.2
Cancel the common factor.
Step 2.1.1.5.1.3
Rewrite the expression.
Step 2.1.1.5.2
Simplify the expression.
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Step 2.1.1.5.2.1
Multiply by .
Step 2.1.1.5.2.2
Move to the left of .
Step 2.2
Simplify the right side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Rewrite the expression.
Step 3
Solve for .
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Step 3.1
Move all terms containing to the left side of the equation.
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Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Subtract from .
Step 3.2
Divide each term in by and simplify.
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Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
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Step 3.2.2.1
Cancel the common factor of .
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Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
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Step 3.2.3.1
Divide by .