56m^2+376m+240=0

Solution for 56m^2+376m+240=0 equation:

Simplifying
56m2 + 376m + 240 = 0

Reorder the terms:
240 + 376m + 56m2 = 0

Solving
240 + 376m + 56m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8'.
8(30 + 47m + 7m2) = 0

Factor a trinomial.
8((6 + m)(5 + 7m)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 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 + m = 0 + -6

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

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

Simplifying
m = -6
Subproblem 2
Set the factor '(5 + 7m)' equal to zero and attempt to solve:

Simplifying
5 + 7m = 0

Solving
5 + 7m = 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 + 7m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7m = 0 + -5
7m = 0 + -5

Combine like terms: 0 + -5 = -5
7m = -5

Divide each side by '7'.
m = -0.7142857143

Simplifying
m = -0.7142857143
Solution
m = {-6, -0.7142857143}