8m^2+104m+336=0

Solution for 8m^2+104m+336=0 equation:

Simplifying
8m2 + 104m + 336 = 0

Reorder the terms:
336 + 104m + 8m2 = 0

Solving
336 + 104m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8'.
8(42 + 13m + m2) = 0

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

Ignore the factor 8.
Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

Solving
7 + m = 0

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

Add '-7' to each side of the equation.
7 + -7 + m = 0 + -7

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

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

Simplifying
m = -7
Subproblem 2
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
Solution
m = {-7, -6}