0=-16x^2+64x+80

Solution for 0=-16x^2+64x+80 equation:

Simplifying
0 = -16x2 + 64x + 80

Reorder the terms:
0 = 80 + 64x + -16x2

Solving
0 = 80 + 64x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -80 = -80
-80 + -64x + 16x2 = 80 + 64x + -16x2 + -80 + -64x + 16x2

Reorder the terms:
-80 + -64x + 16x2 = 80 + -80 + 64x + -64x + -16x2 + 16x2

Combine like terms: 80 + -80 = 0
-80 + -64x + 16x2 = 0 + 64x + -64x + -16x2 + 16x2
-80 + -64x + 16x2 = 64x + -64x + -16x2 + 16x2

Combine like terms: 64x + -64x = 0
-80 + -64x + 16x2 = 0 + -16x2 + 16x2
-80 + -64x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-80 + -64x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-5 + -4x + x2) = 0

Factor a trinomial.
16((-1 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-1, 5}