(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.
(-6 + -1x)(20 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-6, 20}