(x-8)(x-6)=24

Solution for (x-8)(x-6)=24 equation:

Simplifying
(x + -8)(x + -6) = 24

Reorder the terms:
(-8 + x)(x + -6) = 24

Reorder the terms:
(-8 + x)(-6 + x) = 24

Multiply (-8 + x) * (-6 + x)
(-8(-6 + x) + x(-6 + x)) = 24
((-6 * -8 + x * -8) + x(-6 + x)) = 24
((48 + -8x) + x(-6 + x)) = 24
(48 + -8x + (-6 * x + x * x)) = 24
(48 + -8x + (-6x + x2)) = 24

Combine like terms: -8x + -6x = -14x
(48 + -14x + x2) = 24

Solving
48 + -14x + x2 = 24

Solving for variable 'x'.

Reorder the terms:
48 + -24 + -14x + x2 = 24 + -24

Combine like terms: 48 + -24 = 24
24 + -14x + x2 = 24 + -24

Combine like terms: 24 + -24 = 0
24 + -14x + x2 = 0

Factor a trinomial.
(2 + -1x)(12 + -1x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {2, 12}