2x^2 - 8x =24

Jimmy,

Piece of cake! First of all, divide each side of the equation by the common denominator of 2. It makes it easier. Now you have: X^{2} -4x = 12. Now you'll either factor it or use the quadratic formula. Either way, you need to set it to zero. So subtract 12 from each side. Now it's: X^{2} -4x -12 = 0.

This is factorable. 6 and 2 have a difference of 4 and a product of 12.

So it's (X - 6)(X + 2) = 0

The answers are X = 6 and X = -2.