816=-16x^2+320x

Solution for 816=-16x^2+320x equation:

Simplifying
816 = -16x2 + 320x

Reorder the terms:
816 = 320x + -16x2

Solving
816 = 320x + -16x2

Solving for variable 'x'.

Reorder the terms:
816 + -320x + 16x2 = 320x + -320x + -16x2 + 16x2

Combine like terms: 320x + -320x = 0
816 + -320x + 16x2 = 0 + -16x2 + 16x2
816 + -320x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
816 + -320x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(51 + -20x + x2) = 0

Factor a trinomial.
16((3 + -1x)(17 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {3, 17}