8x^2-24x=144

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

Simplifying
8x2 + -24x = 144

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

Solving
-24x + 8x2 = 144

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '8'.
8(-18 + -3x + x2) = 0

Factor a trinomial.
8((-3 + -1x)(6 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-3, 6}