Basic Math Examples

Solve for a (az-b)/b=(c-d)/d
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
Cancel the common factor of .
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Step 2.1.1.1
Cancel the common factor.
Step 2.1.1.2
Rewrite the expression.
Step 2.2
Simplify the right side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Combine and .
Step 2.2.1.2
Reorder factors in .
Step 3
Solve for .
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Step 3.1
Add to both sides of the equation.
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
Combine the numerators over the common denominator.
Step 3.2.3.2
To write as a fraction with a common denominator, multiply by .
Step 3.2.3.3
Combine the numerators over the common denominator.
Step 3.2.3.4
Simplify the numerator.
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Step 3.2.3.4.1
Factor out of .
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Step 3.2.3.4.1.1
Factor out of .
Step 3.2.3.4.1.2
Factor out of .
Step 3.2.3.4.2
Add and .
Step 3.2.3.4.3
Add and .
Step 3.2.3.5
Multiply the numerator by the reciprocal of the denominator.
Step 3.2.3.6
Multiply by .