8x^2+96x=-256

Solution for 8x^2+96x=-256 equation:

Simplifying
8x2 + 96x = -256

Reorder the terms:
96x + 8x2 = -256

Solving
96x + 8x2 = -256

Solving for variable 'x'.

Reorder the terms:
256 + 96x + 8x2 = -256 + 256

Combine like terms: -256 + 256 = 0
256 + 96x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(32 + 12x + x2) = 0

Factor a trinomial.
8((8 + x)(4 + x)) = 0

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

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-8, -4}