(x+2)(x-1)=108

Solution for (x+2)(x-1)=108 equation:

Simplifying
(x + 2)(x + -1) = 108

Reorder the terms:
(2 + x)(x + -1) = 108

Reorder the terms:
(2 + x)(-1 + x) = 108

Multiply (2 + x) * (-1 + x)
(2(-1 + x) + x(-1 + x)) = 108
((-1 * 2 + x * 2) + x(-1 + x)) = 108
((-2 + 2x) + x(-1 + x)) = 108
(-2 + 2x + (-1 * x + x * x)) = 108
(-2 + 2x + (-1x + x2)) = 108

Combine like terms: 2x + -1x = 1x
(-2 + 1x + x2) = 108

Solving
-2 + 1x + x2 = 108

Solving for variable 'x'.

Reorder the terms:
-2 + -108 + 1x + x2 = 108 + -108

Combine like terms: -2 + -108 = -110
-110 + 1x + x2 = 108 + -108

Combine like terms: 108 + -108 = 0
-110 + 1x + x2 = 0

Factor a trinomial.
(-11 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
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 = {-11, 10}