How to find the solution of a rational equation with a binomial denominator - SAT Math

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Question

Solve for .

Answer

Factor the expression

numerator: find two numbers that add to 2 and multiply to -8 \[use 4,-2\]

denominator: find two numbers that add to 5 and multiply to -14 \[use 7,-2\]

new expression:

Cancel the and cross multiply.

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