-.5*32x^2+60x+6=6

Solution for -.5*32x^2+60x+6=6 equation:

Simplifying
-0.5 * 32x2 + 60x + 6 = 6

Multiply -0.5 * 32
-16x2 + 60x + 6 = 6

Reorder the terms:
6 + 60x + -16x2 = 6

Add '-6' to each side of the equation.
6 + 60x + -6 + -16x2 = 6 + -6

Reorder the terms:
6 + -6 + 60x + -16x2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 60x + -16x2 = 6 + -6
60x + -16x2 = 6 + -6

Combine like terms: 6 + -6 = 0
60x + -16x2 = 0

Solving
60x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(15 + -4x) = 0

Ignore the factor 4.
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 '(15 + -4x)' equal to zero and attempt to solve:

Simplifying
15 + -4x = 0

Solving
15 + -4x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 0 + -15
-4x = 0 + -15

Combine like terms: 0 + -15 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75
Solution
x = {0, 3.75}