(x+6)(x-3)=112

Solution for (x+6)(x-3)=112 equation:

Simplifying
(x + 6)(x + -3) = 112

Reorder the terms:
(6 + x)(x + -3) = 112

Reorder the terms:
(6 + x)(-3 + x) = 112

Multiply (6 + x) * (-3 + x)
(6(-3 + x) + x(-3 + x)) = 112
((-3 * 6 + x * 6) + x(-3 + x)) = 112
((-18 + 6x) + x(-3 + x)) = 112
(-18 + 6x + (-3 * x + x * x)) = 112
(-18 + 6x + (-3x + x2)) = 112

Combine like terms: 6x + -3x = 3x
(-18 + 3x + x2) = 112

Solving
-18 + 3x + x2 = 112

Solving for variable 'x'.

Reorder the terms:
-18 + -112 + 3x + x2 = 112 + -112

Combine like terms: -18 + -112 = -130
-130 + 3x + x2 = 112 + -112

Combine like terms: 112 + -112 = 0
-130 + 3x + x2 = 0

Factor a trinomial.
(-13 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-13, 10}