4m^2+21m+27=

Solution for 4m^2+21m+27= equation:

Simplifying
4m2 + 21m + 27 = 0

Reorder the terms:
27 + 21m + 4m2 = 0

Solving
27 + 21m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + m)(9 + 4m) = 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 '(9 + 4m)' equal to zero and attempt to solve:

Simplifying
9 + 4m = 0

Solving
9 + 4m = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4m = 0 + -9
4m = 0 + -9

Combine like terms: 0 + -9 = -9
4m = -9

Divide each side by '4'.
m = -2.25

Simplifying
m = -2.25
Solution
m = {-3, -2.25}