8x^2+24x-24x-72=144

Solution for 8x^2+24x-24x-72=144 equation:

Simplifying
8x2 + 24x + -24x + -72 = 144

Reorder the terms:
-72 + 24x + -24x + 8x2 = 144

Combine like terms: 24x + -24x = 0
-72 + 0 + 8x2 = 144
-72 + 8x2 = 144

Solving
-72 + 8x2 = 144

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '72' to each side of the equation.
-72 + 72 + 8x2 = 144 + 72

Combine like terms: -72 + 72 = 0
0 + 8x2 = 144 + 72
8x2 = 144 + 72

Combine like terms: 144 + 72 = 216
8x2 = 216

Divide each side by '8'.
x2 = 27

Simplifying
x2 = 27

Take the square root of each side:
x = {-5.196152423, 5.196152423}