5m^2+36m+64=0

Solution for 5m^2+36m+64=0 equation:

Simplifying
5m2 + 36m + 64 = 0

Reorder the terms:
64 + 36m + 5m2 = 0

Solving
64 + 36m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + m)(16 + 5m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(16 + 5m)' equal to zero and attempt to solve:

Simplifying
16 + 5m = 0

Solving
16 + 5m = 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 + 5m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5m = 0 + -16
5m = 0 + -16

Combine like terms: 0 + -16 = -16
5m = -16

Divide each side by '5'.
m = -3.2

Simplifying
m = -3.2
Solution
m = {-4, -3.2}