Question 36104

(1) 5/x+7/9=-5/x, This is equal to 45+7x=-45, 7x=50, x=50/7
(2) 2x/x+7-1/x+1=-2x+8/x^2-8x+7 I have change the sign of 8x to make it possible factorization.

2x/x+7-1/x+1=-2x+8/x^2-8x+7
2x/x+7-1/x+1=-2x+8/((x+7)(x+1))

2x(x+1)-(x+7)=2x+8
2x^2+2x-x-7=2x+8
2x^2-x-15=0

Know using the formula we get the solutions: x=10/4 and x=-3

Remember that I have change on sign.