(x+6)(x+8)=168

Solution for (x+6)(x+8)=168 equation:

Simplifying
(x + 6)(x + 8) = 168

Reorder the terms:
(6 + x)(x + 8) = 168

Reorder the terms:
(6 + x)(8 + x) = 168

Multiply (6 + x) * (8 + x)
(6(8 + x) + x(8 + x)) = 168
((8 * 6 + x * 6) + x(8 + x)) = 168
((48 + 6x) + x(8 + x)) = 168
(48 + 6x + (8 * x + x * x)) = 168
(48 + 6x + (8x + x2)) = 168

Combine like terms: 6x + 8x = 14x
(48 + 14x + x2) = 168

Solving
48 + 14x + x2 = 168

Solving for variable 'x'.

Reorder the terms:
48 + -168 + 14x + x2 = 168 + -168

Combine like terms: 48 + -168 = -120
-120 + 14x + x2 = 168 + -168

Combine like terms: 168 + -168 = 0
-120 + 14x + x2 = 0

Factor a trinomial.
(-20 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve:

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20
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 = {-20, 6}