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x^2 +x/4-1/8=0
x^2 + 2x-1/8 = 0. (taking Lcm as 8)
8x^2 + 2x - 1 = 0 (again taking Lcm as 8 and taking 8 on another side)
8x^2 + 4x -2x -1=0
4x(2x + 1) -1(2x + 1)=0
(4x-1) (2x+1) =0
x = 1/4. or. x = -1/2
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