SOLUTION: Rational expression solve and check (X+2)/(2x+2)=(3x+2)/(3x-2)

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Question 1039616: Rational expression solve and check
(X+2)/(2x+2)=(3x+2)/(3x-2)

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides by %282x%2B2%29%283x-2%29, the simplest or lowest common denominator. This gives %28x%2B2%29%283x-2%29=%283x%2B2%29%282x%2B2%29

3x%5E2%2B6x-2x-4=6x%5E2%2B2x%2B6x%2B4

4x-4=3x%5E2%2B8x%2B4

0=3x%5E2%2B4x%2B8, but the discriminant is 4%5E2-4%2A3%2A8=-80, a negative numbers. NO REAL SOLUTIONS. Do you want Complex solutions?

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Now done in your duplicate post. See there.
https://www.algebra.com/algebra/homework/equations/Equations.faq.question.1039626.html