a^2+20a+101=2

Solution for a^2+20a+101=2 equation:

Simplifying
a2 + 20a + 101 = 2

Reorder the terms:
101 + 20a + a2 = 2

Solving
101 + 20a + a2 = 2

Solving for variable 'a'.

Reorder the terms:
101 + -2 + 20a + a2 = 2 + -2

Combine like terms: 101 + -2 = 99
99 + 20a + a2 = 2 + -2

Combine like terms: 2 + -2 = 0
99 + 20a + a2 = 0

Factor a trinomial.
(11 + a)(9 + a) = 0

Subproblem 1
Set the factor '(11 + a)' equal to zero and attempt to solve:

Simplifying
11 + a = 0

Solving
11 + a = 0

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

Add '-11' to each side of the equation.
11 + -11 + a = 0 + -11

Combine like terms: 11 + -11 = 0
0 + a = 0 + -11
a = 0 + -11

Combine like terms: 0 + -11 = -11
a = -11

Simplifying
a = -11
Subproblem 2
Set the factor '(9 + a)' equal to zero and attempt to solve:

Simplifying
9 + a = 0

Solving
9 + a = 0

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

Add '-9' to each side of the equation.
9 + -9 + a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + a = 0 + -9
a = 0 + -9

Combine like terms: 0 + -9 = -9
a = -9

Simplifying
a = -9
Solution
a = {-11, -9}