(x-6)x=112

Solution for (x-6)x=112 equation:

Simplifying
(x + -6) * x = 112

Reorder the terms:
(-6 + x) * x = 112

Reorder the terms for easier multiplication:
x(-6 + x) = 112
(-6 * x + x * x) = 112
(-6x + x2) = 112

Solving
-6x + x2 = 112

Solving for variable 'x'.

Reorder the terms:
-112 + -6x + x2 = 112 + -112

Combine like terms: 112 + -112 = 0
-112 + -6x + x2 = 0

Factor a trinomial.
(-8 + -1x)(14 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-8, 14}