# Solve for x : 2/(x+1)+3/(2(x-2))=23/(5x), x!=0, -1 ,2 - Mathematics

Solve for x :

2/(x+1)+3/(2(x-2))=23/(5x), x!=0,-1,2

#### Solution

2/(x+1)+3/(2(x-2))=23/(5x)

=>(4(x-2)+3(x+1))/(2(x+1)(x-2))=23/(5x)

=>(7x-5)/(2(x^2-x-2))=23/(5x)

5x(7x5)=46(x2x2)

11x221x92=0

11x244x+23x92=0

11x(x4)+23(x4)=0

(11x+23)(x4)=0

=>x = -23/11,4

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