a^2+20a+93=9

Solution for a^2+20a+93=9 equation:

Simplifying
a2 + 20a + 93 = 9

Reorder the terms:
93 + 20a + a2 = 9

Solving
93 + 20a + a2 = 9

Solving for variable 'a'.

Reorder the terms:
93 + -9 + 20a + a2 = 9 + -9

Combine like terms: 93 + -9 = 84
84 + 20a + a2 = 9 + -9

Combine like terms: 9 + -9 = 0
84 + 20a + a2 = 0

Factor a trinomial.
(14 + a)(6 + a) = 0

Subproblem 1
Set the factor '(14 + a)' equal to zero and attempt to solve:

Simplifying
14 + a = 0

Solving
14 + a = 0

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

Add '-14' to each side of the equation.
14 + -14 + a = 0 + -14

Combine like terms: 14 + -14 = 0
0 + a = 0 + -14
a = 0 + -14

Combine like terms: 0 + -14 = -14
a = -14

Simplifying
a = -14
Subproblem 2
Set the factor '(6 + a)' equal to zero and attempt to solve:

Simplifying
6 + a = 0

Solving
6 + a = 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 + a = 0 + -6

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

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

Simplifying
a = -6
Solution
a = {-14, -6}