math help for precalculus

Question

Solve the following rational function algebraically for the exact value. 1/x = x/3x+18

Answer 1

Given: 1/x = x/(3x + 18) I think this is correct.

Solve for x

Solution:

1/x = x/(3x + 18) Cross Multiply

x^2 = 3x + 18

x^2 - 3x - 18 = 0

(x + 3)(x - 6) = 0

So, x = -3, 6