a^2-10a+22=-2

Solution for a^2-10a+22=-2 equation:

Simplifying
a2 + -10a + 22 = -2

Reorder the terms:
22 + -10a + a2 = -2

Solving
22 + -10a + a2 = -2

Solving for variable 'a'.

Reorder the terms:
22 + 2 + -10a + a2 = -2 + 2

Combine like terms: 22 + 2 = 24
24 + -10a + a2 = -2 + 2

Combine like terms: -2 + 2 = 0
24 + -10a + a2 = 0

Factor a trinomial.
(4 + -1a)(6 + -1a) = 0

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

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

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

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

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

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

Simplifying
a = 4
Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {4, 6}