(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.
(-14 + -1x)(8 + -1x) = 0

Subproblem 1
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
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 = {-14, 8}