Question

x(x-6) = 5x - 24
Help! How do I solve this?

Answer 1

$x(x-6) = 5x - 24 \\ \\ x^2 - 6x = 5x - 24 \\ \\ x^2 - 6x - 5x + 24 = 0 \\ \\ x^2 - 11x + 24 = 0 \\ \\ (x-8)(x-3)=0 \\ \\ x = 8, 3$

The final result is: x = 8, 3.