8x^2-96x=-288

Solution for 8x^2-96x=-288 equation:

Simplifying
8x2 + -96x = -288

Reorder the terms:
-96x + 8x2 = -288

Solving
-96x + 8x2 = -288

Solving for variable 'x'.

Reorder the terms:
288 + -96x + 8x2 = -288 + 288

Combine like terms: -288 + 288 = 0
288 + -96x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(36 + -12x + x2) = 0

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

Ignore the factor 8.
Subproblem 1
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
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 = {6, 6}