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

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

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

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

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

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

Combine like terms: -12x + 2x = -10x
(-12 + -10x + 2x2) = 0

Solving
-12 + -10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -5x + x2) = 0

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

Ignore the factor 2.
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 '(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
Solution
x = {-1, 6}