(2x-12)(x+1)=

Solution for (2x-12)(x+1)= equation:

Simplifying
(2x + -12)(x + 1) = 0

Reorder the terms:
(-12 + 2x)(x + 1) = 0

Reorder the terms:
(-12 + 2x)(1 + x) = 0

Multiply (-12 + 2x) * (1 + x)
(-12(1 + x) + 2x * (1 + x)) = 0
((1 * -12 + x * -12) + 2x * (1 + x)) = 0
((-12 + -12x) + 2x * (1 + x)) = 0
(-12 + -12x + (1 * 2x + x * 2x)) = 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}