56m^2+80m+24=0

Solution for 56m^2+80m+24=0 equation:

Simplifying
56m2 + 80m + 24 = 0

Reorder the terms:
24 + 80m + 56m2 = 0

Solving
24 + 80m + 56m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + 10m + 7m2) = 0

Factor a trinomial.
8((1 + m)(3 + 7m)) = 0

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

Simplifying
1 + m = 0

Solving
1 + m = 0

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

Add '-1' to each side of the equation.
1 + -1 + m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m = 0 + -1
m = 0 + -1

Combine like terms: 0 + -1 = -1
m = -1

Simplifying
m = -1
Subproblem 2
Set the factor '(3 + 7m)' equal to zero and attempt to solve:

Simplifying
3 + 7m = 0

Solving
3 + 7m = 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 + 7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7m = 0 + -3
7m = 0 + -3

Combine like terms: 0 + -3 = -3
7m = -3

Divide each side by '7'.
m = -0.4285714286

Simplifying
m = -0.4285714286
Solution
m = {-1, -0.4285714286}