solve for x

Question

x+1/x=-7/x-12

Answer 1

1.set common denominator: x(x-12)
2. multiply
(x-12) (x+1) = -7 (x)
_______________________________
(x-12) x = (x-12) (x)

3. multiply out numerator:
x2 -11x-12 = - 7x
x2 -4x-12 = 0
(x+2) (x-6) =0
x = -2 or x =6