(X+2)(X+6)=140

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

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

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

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

Multiply (2 + X) * (6 + X)
(2(6 + X) + X(6 + X)) = 140
((6 * 2 + X * 2) + X(6 + X)) = 140
((12 + 2X) + X(6 + X)) = 140
(12 + 2X + (6 * X + X * X)) = 140
(12 + 2X + (6X + X2)) = 140

Combine like terms: 2X + 6X = 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}