(x+2)(x-91)=0

Solution for (x+2)(x-91)=0 equation:

Simplifying
(x + 2)(x + -91) = 0

Reorder the terms:
(2 + x)(x + -91) = 0

Reorder the terms:
(2 + x)(-91 + x) = 0

Multiply (2 + x) * (-91 + x)
(2(-91 + x) + x(-91 + x)) = 0
((-91 * 2 + x * 2) + x(-91 + x)) = 0
((-182 + 2x) + x(-91 + x)) = 0
(-182 + 2x + (-91 * x + x * x)) = 0
(-182 + 2x + (-91x + x2)) = 0

Combine like terms: 2x + -91x = -89x
(-182 + -89x + x2) = 0

Solving
-182 + -89x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(91 + -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 '(91 + -1x)' equal to zero and attempt to solve:

Simplifying
91 + -1x = 0

Solving
91 + -1x = 0

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

Add '-91' to each side of the equation.
91 + -91 + -1x = 0 + -91

Combine like terms: 91 + -91 = 0
0 + -1x = 0 + -91
-1x = 0 + -91

Combine like terms: 0 + -91 = -91
-1x = -91

Divide each side by '-1'.
x = 91

Simplifying
x = 91
Solution
x = {-2, 91}