a^2+20a+64=0

Solution for a^2+20a+64=0 equation:

Simplifying
a2 + 20a + 64 = 0

Reorder the terms:
64 + 20a + a2 = 0

Solving
64 + 20a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(16 + a)(4 + a) = 0

Subproblem 1
Set the factor '(16 + a)' equal to zero and attempt to solve:

Simplifying
16 + a = 0

Solving
16 + a = 0

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

Add '-16' to each side of the equation.
16 + -16 + a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + a = 0 + -16
a = 0 + -16

Combine like terms: 0 + -16 = -16
a = -16

Simplifying
a = -16
Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve:

Simplifying
4 + a = 0

Solving
4 + a = 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 + a = 0 + -4

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

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

Simplifying
a = -4
Solution
a = {-16, -4}