0=-16x^2+66x

Solution for 0=-16x^2+66x equation:

Simplifying
0 = -16x2 + 66x

Reorder the terms:
0 = 66x + -16x2

Solving
0 = 66x + -16x2

Solving for variable 'x'.
Remove the zero:
-66x + 16x2 = 66x + -16x2 + -66x + 16x2

Reorder the terms:
-66x + 16x2 = 66x + -66x + -16x2 + 16x2

Combine like terms: 66x + -66x = 0
-66x + 16x2 = 0 + -16x2 + 16x2
-66x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-66x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-33 + 8x) = 0

Ignore the factor 2.
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 '(-33 + 8x)' equal to zero and attempt to solve:

Simplifying
-33 + 8x = 0

Solving
-33 + 8x = 0

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

Add '33' to each side of the equation.
-33 + 33 + 8x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 8x = 0 + 33
8x = 0 + 33

Combine like terms: 0 + 33 = 33
8x = 33

Divide each side by '8'.
x = 4.125

Simplifying
x = 4.125
Solution
x = {0, 4.125}