3m^2+20m=-25

Solution for 3m^2+20m=-25 equation:

Simplifying
3m2 + 20m = -25

Reorder the terms:
20m + 3m2 = -25

Solving
20m + 3m2 = -25

Solving for variable 'm'.

Reorder the terms:
25 + 20m + 3m2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 20m + 3m2 = 0

Factor a trinomial.
(5 + m)(5 + 3m) = 0

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

Simplifying
5 + m = 0

Solving
5 + m = 0

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

Add '-5' to each side of the equation.
5 + -5 + m = 0 + -5

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

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

Simplifying
m = -5
Subproblem 2
Set the factor '(5 + 3m)' equal to zero and attempt to solve:

Simplifying
5 + 3m = 0

Solving
5 + 3m = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3m = 0 + -5
3m = 0 + -5

Combine like terms: 0 + -5 = -5
3m = -5

Divide each side by '3'.
m = -1.666666667

Simplifying
m = -1.666666667
Solution
m = {-5, -1.666666667}