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what is the answer of the 2/x-3/2=7/2x

what is the answer of the 2/x-3/2=7/2x

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Guest [Entry]

"ANSWER:
x= -1, 4/7

SOLUTION
4/x - 3 = 7x
4/x - 3 - 7x = 0
-7x^2 - 3x + 4 = 0
7x^2 + 7x - 4x - 4 = 0
7x (x + 1) - 4 (x + 1) = 0
(x + 1) (7x - 4) = 0
x + 1 = 0, 7x - 4 = 0"