-16x^2+96x=-880

Solution for -16x^2+96x=-880 equation:

Simplifying
-16x2 + 96x = -880

Reorder the terms:
96x + -16x2 = -880

Solving
96x + -16x2 = -880

Solving for variable 'x'.

Reorder the terms:
880 + 96x + -16x2 = -880 + 880

Combine like terms: -880 + 880 = 0
880 + 96x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(55 + 6x + -1x2) = 0

Factor a trinomial.
16((11 + -1x)(5 + x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {11, -5}