0=-16x^2+96x+640

Solution for 0=-16x^2+96x+640 equation:

Simplifying
0 = -16x2 + 96x + 640

Reorder the terms:
0 = 640 + 96x + -16x2

Solving
0 = 640 + 96x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -640 = -640
-640 + -96x + 16x2 = 640 + 96x + -16x2 + -640 + -96x + 16x2

Reorder the terms:
-640 + -96x + 16x2 = 640 + -640 + 96x + -96x + -16x2 + 16x2

Combine like terms: 640 + -640 = 0
-640 + -96x + 16x2 = 0 + 96x + -96x + -16x2 + 16x2
-640 + -96x + 16x2 = 96x + -96x + -16x2 + 16x2

Combine like terms: 96x + -96x = 0
-640 + -96x + 16x2 = 0 + -16x2 + 16x2
-640 + -96x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-640 + -96x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-40 + -6x + x2) = 0

Factor a trinomial.
16((-4 + -1x)(10 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
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
Solution
x = {-4, 10}