5m^2+21m+18=0

Solution for 5m^2+21m+18=0 equation:

Simplifying
5m2 + 21m + 18 = 0

Reorder the terms:
18 + 21m + 5m2 = 0

Solving
18 + 21m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + m)(6 + 5m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + 5m)' equal to zero and attempt to solve:

Simplifying
6 + 5m = 0

Solving
6 + 5m = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5m = 0 + -6
5m = 0 + -6

Combine like terms: 0 + -6 = -6
5m = -6

Divide each side by '5'.
m = -1.2

Simplifying
m = -1.2
Solution
m = {-3, -1.2}