# Math Help - Find the solution set

1. ## Find the solution set

2x squared - 24= x squared - 10x

2. Originally Posted by lovely08
2x squared - 24= x squared - 10x
If $n > 1$ in $x^n$ then you must get everything over to one side and the other side must equal zero.

$2x^2 - 24 = x^2 - 10x$

$2x^2 - x^2 + 10x - 24 = 0$

$x^2 + 10x - 24 = 0$

$(x + 12)(x - 2) = 0$

So $x = -12$ or $x = 2$