_2__ = ____2___
x-9 x^2-6x-27
Solve the equations Check solutions to the equations (plug the answer back into the original equation.)
Making fractions look presentable is just about impossible in this format.
Write your fractions this way:
2/(x-9) = 2/(x^2 - 6x - 27)
2/(x-9) = 2/((x-9)(x+3))
multiply both sides by (x-9)(x+3)
2(x+3) = 2
2x + 6 = 2
x = -2
or, you could cross-multiply
2x^2 - 12x - 54 = 2x - 18
2x^2 - 14x - 36 = 0
x^2 - 7x - 18 = 0
(x-9)(x+2) = 0
x = 9 or x = -2
But, x = 9 would make the fractions undefined, so
x = -2