0=-16x^2+96x

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

Simplifying
0 = -16x2 + 96x

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

Solving
0 = 96x + -16x2

Solving for variable 'x'.
Remove the zero:
-96x + 16x2 = 96x + -16x2 + -96x + 16x2

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

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

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

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

Ignore the factor 16.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, 6}