<PRE><B>Question 553896</B>
{{{1/(x-1)+1/(x+2)=5/4}}}

The LCD of the equation is 4(x-1)(x+2)

multiply by the LCD


{{{4(x+2)+4(x-1)=5*4*(x-1)(x+2)}}}

4x+8+4x-4=5(x^2+x-2)

8x+4=5x^2+5x-10
5x^2-3x-14=0

5x^2-10x+7x-14)=0
5x(x-2)+7(x-2)=0
(x-2)(5x+7)=0
x= 2 OR 7/5

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