a^2-12a+22=2

Solution for a^2-12a+22=2 equation:

Simplifying
a2 + -12a + 22 = 2

Reorder the terms:
22 + -12a + a2 = 2

Solving
22 + -12a + a2 = 2

Solving for variable 'a'.

Reorder the terms:
22 + -2 + -12a + a2 = 2 + -2

Combine like terms: 22 + -2 = 20
20 + -12a + a2 = 2 + -2

Combine like terms: 2 + -2 = 0
20 + -12a + a2 = 0

Factor a trinomial.
(2 + -1a)(10 + -1a) = 0

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 2
Set the factor '(10 + -1a)' equal to zero and attempt to solve:

Simplifying
10 + -1a = 0

Solving
10 + -1a = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1a = 0 + -10
-1a = 0 + -10

Combine like terms: 0 + -10 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10
Solution
a = {2, 10}