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1/a+b+x -1/x =1/a+1/b
x-(a+b+x)/(a+b+x)(x) = b+a/ab
x - a - b - x/ (ax +bx +x^2) = a+b/ab. (x sub x)
-(a+b)/ ax+ bx +x^2) = a+b/ab. (a+b div. ab)
-1/ax+bx+x^2 = 1/ab
-ab = ax + bx + x^2
x^2 + ax +bx +ab
x(x+a) + b(x +a)
(x+a)(x+b)
therefore, x= -a,-b
x-(a+b+x)/(a+b+x)(x) = b+a/ab
x - a - b - x/ (ax +bx +x^2) = a+b/ab. (x sub x)
-(a+b)/ ax+ bx +x^2) = a+b/ab. (a+b div. ab)
-1/ax+bx+x^2 = 1/ab
-ab = ax + bx + x^2
x^2 + ax +bx +ab
x(x+a) + b(x +a)
(x+a)(x+b)
therefore, x= -a,-b
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