Question

2x/(x-3) + 1/(2x+3) = -(3x+9)/(x-3)(2x+3)

Answer 1

Answer:

Obviously the given equation is valid if x−3



=0and2x+3



=0

Multiplying throughout by (x - 3)(2x + 3) we get 2x(2x + 3) + 1(x - 3) + 3x + 9 = 0

or 4x

2

+10x+6=0

or 2x

2

+5x+3=0

or (2x + 3)(x + 1) = 0

But 2x+3



=0 so we get x + 1 = 0

This gives x = -1 as the only solution of the given equation

Answer 2

Answer:

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