128=-16x^2+96x

Solution for 128=-16x^2+96x equation:

Simplifying
128 = -16x2 + 96x

Reorder the terms:
128 = 96x + -16x2

Solving
128 = 96x + -16x2

Solving for variable 'x'.

Reorder the terms:
128 + -96x + 16x2 = 96x + -96x + -16x2 + 16x2

Combine like terms: 96x + -96x = 0
128 + -96x + 16x2 = 0 + -16x2 + 16x2
128 + -96x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
128 + -96x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(8 + -6x + x2) = 0

Factor a trinomial.
16((2 + -1x)(4 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

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