Pre-Algebra Examples

Solve for z w=2xy+2xz+2yz
Step 1
Rewrite the equation as .
Step 2
Subtract from both sides of the equation.
Step 3
Factor out of .
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Step 3.1
Factor out of .
Step 3.2
Factor out of .
Step 3.3
Factor out of .
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Rewrite the expression.
Step 4.2.2
Cancel the common factor of .
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Step 4.2.2.1
Cancel the common factor.
Step 4.2.2.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Simplify each term.
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Step 4.3.1.1
Cancel the common factor of and .
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Step 4.3.1.1.1
Factor out of .
Step 4.3.1.1.2
Cancel the common factors.
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Step 4.3.1.1.2.1
Cancel the common factor.
Step 4.3.1.1.2.2
Rewrite the expression.
Step 4.3.1.2
Move the negative in front of the fraction.
Step 4.3.2
To write as a fraction with a common denominator, multiply by .
Step 4.3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 4.3.3.1
Multiply by .
Step 4.3.3.2
Reorder the factors of .
Step 4.3.4
Combine the numerators over the common denominator.
Step 4.3.5
Multiply by .