m^2+20m+64=0

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

Simplifying
m2 + 20m + 64 = 0

Reorder the terms:
64 + 20m + m2 = 0

Solving
64 + 20m + m2 = 0

Solving for variable 'm'.

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

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

Simplifying
16 + m = 0

Solving
16 + m = 0

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

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

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

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

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

Simplifying
4 + m = 0

Solving
4 + m = 0

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

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

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

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

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