-16x^2+96x+111=111

Solution for -16x^2+96x+111=111 equation:

Simplifying
-16x2 + 96x + 111 = 111

Reorder the terms:
111 + 96x + -16x2 = 111

Add '-111' to each side of the equation.
111 + 96x + -111 + -16x2 = 111 + -111

Reorder the terms:
111 + -111 + 96x + -16x2 = 111 + -111

Combine like terms: 111 + -111 = 0
0 + 96x + -16x2 = 111 + -111
96x + -16x2 = 111 + -111

Combine like terms: 111 + -111 = 0
96x + -16x2 = 0

Solving
96x + -16x2 = 0

Solving for variable 'x'.

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

Ignore the factor 16.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
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 = {0, 6}