x^2-18x-90=-2

Solution for x^2-18x-90=-2 equation:

Simplifying
x2 + -18x + -90 = -2

Reorder the terms:
-90 + -18x + x2 = -2

Solving
-90 + -18x + x2 = -2

Solving for variable 'x'.

Reorder the terms:
-90 + 2 + -18x + x2 = -2 + 2

Combine like terms: -90 + 2 = -88
-88 + -18x + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
-88 + -18x + x2 = 0

Factor a trinomial.
(-4 + -1x)(22 + -1x) = 0

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-4, 22}