Solve for z (a^2+13)/(a-8)=(17a-59)/(z-8)

Math
Rewrite the equation as .
Set up the rational expression with the same denominator over the entire equation.
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Multiply each term by a factor of that will equate all the denominators. In this case, all terms need a denominator of . The expression needs to be multiplied by to make the denominator . The expression needs to be multiplied by to make the denominator .
Multiply the expression by a factor of to create the least common denominator (LCD) of .
Simplify.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Multiply the expression by a factor of to create the least common denominator (LCD) of .
Simplify.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
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Move to the left of .
Multiply by .
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Rewrite the equation as .
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add to both sides of the equation.
Add and .
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Combine the numerators over the common denominator.
Solve for z (a^2+13)/(a-8)=(17a-59)/(z-8)

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