0=-16x^2+16x+32

Solution for 0=-16x^2+16x+32 equation:

Simplifying
0 = -16x2 + 16x + 32

Reorder the terms:
0 = 32 + 16x + -16x2

Solving
0 = 32 + 16x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -32 = -32
-32 + -16x + 16x2 = 32 + 16x + -16x2 + -32 + -16x + 16x2

Reorder the terms:
-32 + -16x + 16x2 = 32 + -32 + 16x + -16x + -16x2 + 16x2

Combine like terms: 32 + -32 = 0
-32 + -16x + 16x2 = 0 + 16x + -16x + -16x2 + 16x2
-32 + -16x + 16x2 = 16x + -16x + -16x2 + 16x2

Combine like terms: 16x + -16x = 0
-32 + -16x + 16x2 = 0 + -16x2 + 16x2
-32 + -16x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-32 + -16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-2 + -1x + x2) = 0

Factor a trinomial.
16((-1 + -1x)(2 + -1x)) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1, 2}