8x^2+384=-112x

Solution for 8x^2+384=-112x equation:

Simplifying
8x2 + 384 = -112x

Reorder the terms:
384 + 8x2 = -112x

Solving
384 + 8x2 = -112x

Solving for variable 'x'.

Reorder the terms:
384 + 112x + 8x2 = -112x + 112x

Combine like terms: -112x + 112x = 0
384 + 112x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(48 + 14x + x2) = 0

Factor a trinomial.
8((8 + x)(6 + 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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Solution
x = {-8, -6}