x^2-20x-46=-2

Solution for x^2-20x-46=-2 equation:

Simplifying
x2 + -20x + -46 = -2

Reorder the terms:
-46 + -20x + x2 = -2

Solving
-46 + -20x + x2 = -2

Solving for variable 'x'.

Reorder the terms:
-46 + 2 + -20x + x2 = -2 + 2

Combine like terms: -46 + 2 = -44
-44 + -20x + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
-44 + -20x + x2 = 0

Factor a trinomial.
(-2 + -1x)(22 + -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 '(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 = {-2, 22}