(-16x^2)+80x+800=0

Solution for (-16x^2)+80x+800=0 equation:

Simplifying
(-16x2) + 80x + 800 = 0

Reorder the terms:
800 + 80x + (-16x2) = 0

Solving
800 + 80x + (-16x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(50 + 5x + (-1x2)) = 0

Factor a trinomial.
16((10 + -1x)(5 + x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
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 = {10, -5}