3m^2+32m=-20

Solution for 3m^2+32m=-20 equation:

Simplifying
3m2 + 32m = -20

Reorder the terms:
32m + 3m2 = -20

Solving
32m + 3m2 = -20

Solving for variable 'm'.

Reorder the terms:
20 + 32m + 3m2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 32m + 3m2 = 0

Factor a trinomial.
(10 + m)(2 + 3m) = 0

Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve:

Simplifying
10 + m = 0

Solving
10 + m = 0

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

Add '-10' to each side of the equation.
10 + -10 + m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + m = 0 + -10
m = 0 + -10

Combine like terms: 0 + -10 = -10
m = -10

Simplifying
m = -10
Subproblem 2
Set the factor '(2 + 3m)' equal to zero and attempt to solve:

Simplifying
2 + 3m = 0

Solving
2 + 3m = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3m = 0 + -2
3m = 0 + -2

Combine like terms: 0 + -2 = -2
3m = -2

Divide each side by '3'.
m = -0.6666666667

Simplifying
m = -0.6666666667
Solution
m = {-10, -0.6666666667}