x^2-20x+94=-2

Solution for x^2-20x+94=-2 equation:

Simplifying
x2 + -20x + 94 = -2

Reorder the terms:
94 + -20x + x2 = -2

Solving
94 + -20x + x2 = -2

Solving for variable 'x'.

Reorder the terms:
94 + 2 + -20x + x2 = -2 + 2

Combine like terms: 94 + 2 = 96
96 + -20x + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
96 + -20x + x2 = 0

Factor a trinomial.
(8 + -1x)(12 + -1x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {8, 12}