x^2-15x+22=-22

Solution for x^2-15x+22=-22 equation:

Simplifying
x2 + -15x + 22 = -22

Reorder the terms:
22 + -15x + x2 = -22

Solving
22 + -15x + x2 = -22

Solving for variable 'x'.

Reorder the terms:
22 + 22 + -15x + x2 = -22 + 22

Combine like terms: 22 + 22 = 44
44 + -15x + x2 = -22 + 22

Combine like terms: -22 + 22 = 0
44 + -15x + x2 = 0

Factor a trinomial.
(4 + -1x)(11 + -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 '(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
Solution
x = {4, 11}