-.5(32)*x^2+64(x)+0=60

Solution for -.5(32)*x^2+64(x)+0=60 equation:

Simplifying
-0.5(32) * x2 + 64(x) + 0 = 60

Multiply -0.5 * 32
-16x2 + 64(x) + 0 = 60

Reorder the terms:
0 + 64x + -16x2 = 60
Remove the zero:
64x + -16x2 = 60

Solving
64x + -16x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + 64x + -16x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 64x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 16x + -4x2) = 0

Factor a trinomial.
4((-5 + 2x)(3 + -2x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {2.5, 1.5}