4m^2+25m+39=0

Solution for 4m^2+25m+39=0 equation:

Simplifying
4m2 + 25m + 39 = 0

Reorder the terms:
39 + 25m + 4m2 = 0

Solving
39 + 25m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(13 + 4m)(3 + m) = 0

Subproblem 1
Set the factor '(13 + 4m)' equal to zero and attempt to solve:

Simplifying
13 + 4m = 0

Solving
13 + 4m = 0

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

Add '-13' to each side of the equation.
13 + -13 + 4m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4m = 0 + -13
4m = 0 + -13

Combine like terms: 0 + -13 = -13
4m = -13

Divide each side by '4'.
m = -3.25

Simplifying
m = -3.25
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {-3.25, -3}