(x+6)(x+2)=140

Solution for (x+6)(x+2)=140 equation:

Simplifying
(x + 6)(x + 2) = 140

Reorder the terms:
(6 + x)(x + 2) = 140

Reorder the terms:
(6 + x)(2 + x) = 140

Multiply (6 + x) * (2 + x)
(6(2 + x) + x(2 + x)) = 140
((2 * 6 + x * 6) + x(2 + x)) = 140
((12 + 6x) + x(2 + x)) = 140
(12 + 6x + (2 * x + x * x)) = 140
(12 + 6x + (2x + x2)) = 140

Combine like terms: 6x + 2x = 8x
(12 + 8x + x2) = 140

Solving
12 + 8x + x2 = 140

Solving for variable 'x'.

Reorder the terms:
12 + -140 + 8x + x2 = 140 + -140

Combine like terms: 12 + -140 = -128
-128 + 8x + x2 = 140 + -140

Combine like terms: 140 + -140 = 0
-128 + 8x + x2 = 0

Factor a trinomial.
(-16 + -1x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-16, 8}