3m^2+57m+270=0

Solution for 3m^2+57m+270=0 equation:

Simplifying
3m2 + 57m + 270 = 0

Reorder the terms:
270 + 57m + 3m2 = 0

Solving
270 + 57m + 3m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(90 + 19m + m2) = 0

Factor a trinomial.
3((10 + m)(9 + m)) = 0

Ignore the factor 3.
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 '(9 + m)' equal to zero and attempt to solve:

Simplifying
9 + m = 0

Solving
9 + m = 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 + m = 0 + -9

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

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

Simplifying
m = -9
Solution
m = {-10, -9}