4m^2+108m+104=0

Solution for 4m^2+108m+104=0 equation:

Simplifying
4m2 + 108m + 104 = 0

Reorder the terms:
104 + 108m + 4m2 = 0

Solving
104 + 108m + 4m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(26 + 27m + m2) = 0

Factor a trinomial.
4((26 + m)(1 + m)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(26 + m)' equal to zero and attempt to solve:

Simplifying
26 + m = 0

Solving
26 + m = 0

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

Add '-26' to each side of the equation.
26 + -26 + m = 0 + -26

Combine like terms: 26 + -26 = 0
0 + m = 0 + -26
m = 0 + -26

Combine like terms: 0 + -26 = -26
m = -26

Simplifying
m = -26
Subproblem 2
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
Solution
m = {-26, -1}