Basic Math Examples

Solve for n (a-7)/(a-2)=(n+4)/(n-5)
Step 1
Multiply the equation by .
Step 2
Simplify the left side.
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Step 2.1
Multiply by .
Step 3
Simplify the right side.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Cancel the common factor.
Step 3.1.2
Rewrite the expression.
Step 4
Solve for .
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Step 4.1
Multiply both sides by .
Step 4.2
Simplify.
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Step 4.2.1
Simplify the left side.
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Step 4.2.1.1
Simplify .
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Step 4.2.1.1.1
Cancel the common factor of .
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Step 4.2.1.1.1.1
Cancel the common factor.
Step 4.2.1.1.1.2
Rewrite the expression.
Step 4.2.1.1.2
Expand using the FOIL Method.
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Step 4.2.1.1.2.1
Apply the distributive property.
Step 4.2.1.1.2.2
Apply the distributive property.
Step 4.2.1.1.2.3
Apply the distributive property.
Step 4.2.1.1.3
Simplify terms.
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Step 4.2.1.1.3.1
Simplify each term.
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Step 4.2.1.1.3.1.1
Move to the left of .
Step 4.2.1.1.3.1.2
Multiply by .
Step 4.2.1.1.3.2
Simplify the expression.
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Step 4.2.1.1.3.2.1
Reorder and .
Step 4.2.1.1.3.2.2
Move .
Step 4.2.2
Simplify the right side.
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Step 4.2.2.1
Simplify .
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Step 4.2.2.1.1
Expand using the FOIL Method.
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Step 4.2.2.1.1.1
Apply the distributive property.
Step 4.2.2.1.1.2
Apply the distributive property.
Step 4.2.2.1.1.3
Apply the distributive property.
Step 4.2.2.1.2
Simplify terms.
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Step 4.2.2.1.2.1
Simplify each term.
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Step 4.2.2.1.2.1.1
Move to the left of .
Step 4.2.2.1.2.1.2
Multiply by .
Step 4.2.2.1.2.2
Simplify the expression.
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Step 4.2.2.1.2.2.1
Reorder and .
Step 4.2.2.1.2.2.2
Move .
Step 4.3
Solve for .
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Step 4.3.1
Move all terms containing to the left side of the equation.
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Step 4.3.1.1
Subtract from both sides of the equation.
Step 4.3.1.2
Add to both sides of the equation.
Step 4.3.1.3
Combine the opposite terms in .
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Step 4.3.1.3.1
Subtract from .
Step 4.3.1.3.2
Add and .
Step 4.3.1.4
Add and .
Step 4.3.2
Move all terms not containing to the right side of the equation.
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Step 4.3.2.1
Add to both sides of the equation.
Step 4.3.2.2
Subtract from both sides of the equation.
Step 4.3.2.3
Add and .
Step 4.3.2.4
Subtract from .
Step 4.3.3
Divide each term in by and simplify.
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Step 4.3.3.1
Divide each term in by .
Step 4.3.3.2
Simplify the left side.
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Step 4.3.3.2.1
Cancel the common factor of .
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Step 4.3.3.2.1.1
Cancel the common factor.
Step 4.3.3.2.1.2
Divide by .
Step 4.3.3.3
Simplify the right side.
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Step 4.3.3.3.1
Simplify each term.
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Step 4.3.3.3.1.1
Move the negative in front of the fraction.
Step 4.3.3.3.1.2
Dividing two negative values results in a positive value.