8x(x+3)-24(x-3)=144

Solution for 8x(x+3)-24(x-3)=144 equation:

Simplifying
8x(x + 3) + -24(x + -3) = 144

Reorder the terms:
8x(3 + x) + -24(x + -3) = 144
(3 * 8x + x * 8x) + -24(x + -3) = 144
(24x + 8x2) + -24(x + -3) = 144

Reorder the terms:
24x + 8x2 + -24(-3 + x) = 144
24x + 8x2 + (-3 * -24 + x * -24) = 144
24x + 8x2 + (72 + -24x) = 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 = 72
8x2 = 72

Divide each side by '8'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}