Question

What is the solution to the equation 1/3 (9x-6)2x=3

Answer 1

$\frac{1}{3} (9x-6)2x=3 \\ \\ \frac{(9x-6) \times 2x}{3} = 3 \\ \\ \frac{3(3x - 2) \times 2x}{3} = 3 \\ \\ \frac{6x (3x-2)}{3} = 3 \\ \\ 2x(3x-2) = 3 \\ \\ 6x^2 - 4x = 3 \\ \\ 6x^2 - 4x - 3 = 0 \\ \\ x = \frac{4+2 \sqrt{22} }{12} , \frac{2- \sqrt{22} }{12} \\ \\ x = \frac{2+ \sqrt{22} }{6} , \frac{2- \sqrt{22} }{6}$