-0.5*32x^2+176x+0=480

Solution for -0.5*32x^2+176x+0=480 equation:

Simplifying
-0.5 * 32x2 + 176x + 0 = 480

Multiply -0.5 * 32
-16x2 + 176x + 0 = 480

Reorder the terms:
0 + 176x + -16x2 = 480
Remove the zero:
176x + -16x2 = 480

Solving
176x + -16x2 = 480

Solving for variable 'x'.

Reorder the terms:
-480 + 176x + -16x2 = 480 + -480

Combine like terms: 480 + -480 = 0
-480 + 176x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-30 + 11x + -1x2) = 0

Factor a trinomial.
16((-6 + x)(5 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {6, 5}