Question

_2__ = ____2___

x-9 x^2-6x-27

Solve the equations Check solutions to the equations (plug the answer back into the original equation.)

Answer 1

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