0=-2(x+6)(x-22)

Solution for 0=-2(x+6)(x-22) equation:

Simplifying
0 = -2(x + 6)(x + -22)

Reorder the terms:
0 = -2(6 + x)(x + -22)

Reorder the terms:
0 = -2(6 + x)(-22 + x)

Multiply (6 + x) * (-22 + x)
0 = -2(6(-22 + x) + x(-22 + x))
0 = -2((-22 * 6 + x * 6) + x(-22 + x))
0 = -2((-132 + 6x) + x(-22 + x))
0 = -2(-132 + 6x + (-22 * x + x * x))
0 = -2(-132 + 6x + (-22x + x2))

Combine like terms: 6x + -22x = -16x
0 = -2(-132 + -16x + x2)
0 = (-132 * -2 + -16x * -2 + x2 * -2)
0 = (264 + 32x + -2x2)

Solving
0 = 264 + 32x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + -264 = -264
-264 + -32x + 2x2 = 264 + 32x + -2x2 + -264 + -32x + 2x2

Reorder the terms:
-264 + -32x + 2x2 = 264 + -264 + 32x + -32x + -2x2 + 2x2

Combine like terms: 264 + -264 = 0
-264 + -32x + 2x2 = 0 + 32x + -32x + -2x2 + 2x2
-264 + -32x + 2x2 = 32x + -32x + -2x2 + 2x2

Combine like terms: 32x + -32x = 0
-264 + -32x + 2x2 = 0 + -2x2 + 2x2
-264 + -32x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-264 + -32x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-132 + -16x + x2) = 0

Factor a trinomial.
2((-6 + -1x)(22 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-6, 22}