0=-16x^2+80x+96

Solution for 0=-16x^2+80x+96 equation:

Simplifying
0 = -16x2 + 80x + 96

Reorder the terms:
0 = 96 + 80x + -16x2

Solving
0 = 96 + 80x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -96 = -96
-96 + -80x + 16x2 = 96 + 80x + -16x2 + -96 + -80x + 16x2

Reorder the terms:
-96 + -80x + 16x2 = 96 + -96 + 80x + -80x + -16x2 + 16x2

Combine like terms: 96 + -96 = 0
-96 + -80x + 16x2 = 0 + 80x + -80x + -16x2 + 16x2
-96 + -80x + 16x2 = 80x + -80x + -16x2 + 16x2

Combine like terms: 80x + -80x = 0
-96 + -80x + 16x2 = 0 + -16x2 + 16x2
-96 + -80x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-96 + -80x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-6 + -5x + x2) = 0

Factor a trinomial.
16((-1 + -1x)(6 + -1x)) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
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 = {-1, 6}