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Solve : (m+n)^2 x^2 + (m+n)x - 2 = 0...

Solve : `(m+n)^2 x^2 + (m+n)x - 2 = 0`

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`(m+n)^2x^2+(m+n)x - 2 = 0`
Let `m+n = a`, then, our equation becomes,
`a^2x^2+ax-2 = 0`
`=>a^2x^2+2ax-ax-2 = 0`
`=>ax(ax+2)-1(ax+2) = 0`
`=>(ax-1)(ax+2) = 0`
`=> ax = 1 and ax = -2`
`=> x = 1/a and x = -2/a`
...
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