0=(2x-20)(x+6)

Solution for 0=(2x-20)(x+6) equation:

Simplifying
0 = (2x + -20)(x + 6)

Reorder the terms:
0 = (-20 + 2x)(x + 6)

Reorder the terms:
0 = (-20 + 2x)(6 + x)

Multiply (-20 + 2x) * (6 + x)
0 = (-20(6 + x) + 2x * (6 + x))
0 = ((6 * -20 + x * -20) + 2x * (6 + x))
0 = ((-120 + -20x) + 2x * (6 + x))
0 = (-120 + -20x + (6 * 2x + x * 2x))
0 = (-120 + -20x + (12x + 2x2))

Combine like terms: -20x + 12x = -8x
0 = (-120 + -8x + 2x2)

Solving
0 = -120 + -8x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 120 = 120
120 + 8x + -2x2 = -120 + -8x + 2x2 + 120 + 8x + -2x2

Reorder the terms:
120 + 8x + -2x2 = -120 + 120 + -8x + 8x + 2x2 + -2x2

Combine like terms: -120 + 120 = 0
120 + 8x + -2x2 = 0 + -8x + 8x + 2x2 + -2x2
120 + 8x + -2x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
120 + 8x + -2x2 = 0 + 2x2 + -2x2
120 + 8x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
120 + 8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(60 + 4x + -1x2) = 0

Factor a trinomial.
2((10 + -1x)(6 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
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
Solution
x = {10, -6}