(x+6)(x-2)=128

Solution for (x+6)(x-2)=128 equation:

Simplifying
(x + 6)(x + -2) = 128

Reorder the terms:
(6 + x)(x + -2) = 128

Reorder the terms:
(6 + x)(-2 + x) = 128

Multiply (6 + x) * (-2 + x)
(6(-2 + x) + x(-2 + x)) = 128
((-2 * 6 + x * 6) + x(-2 + x)) = 128
((-12 + 6x) + x(-2 + x)) = 128
(-12 + 6x + (-2 * x + x * x)) = 128
(-12 + 6x + (-2x + x2)) = 128

Combine like terms: 6x + -2x = 4x
(-12 + 4x + x2) = 128

Solving
-12 + 4x + x2 = 128

Solving for variable 'x'.

Reorder the terms:
-12 + -128 + 4x + x2 = 128 + -128

Combine like terms: -12 + -128 = -140
-140 + 4x + x2 = 128 + -128

Combine like terms: 128 + -128 = 0
-140 + 4x + x2 = 0

Factor a trinomial.
(-14 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
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
Solution
x = {-14, 10}