kindly ans to the picture attached
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Answer:
x = -1 or x = -3/2
Step-by-step explanation:
3x+9/x(2x+3)-3(2x+3) = -2x/x+3 - 1/2x+3
3x+9/x(2x+3)-3(2x+3) = -2x(2x+4)-1(x-3)/(x-3)(2x+3)
3x+9/2x^2+3x-6x-9 = -4x^2-6x-x+3/2x^2+3x-6x-9
3x-9 = -4x^2-7x+3
4x^2+7x+3x+9 = 0
4x^2+10x+6 = 0. } ÷ 2
2x^2+5x+3 = 0. [splitting the middle term]
2x^2+2x+3x+3 = 0
2x(x+1)+3(x-1) = 0
(x+1)(2x+3) = 0
x = -1 or x = -3/2
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