25m+m^2+156=0

Solution for 25m+m^2+156=0 equation:

Simplifying
25m + m2 + 156 = 0

Reorder the terms:
156 + 25m + m2 = 0

Solving
156 + 25m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(13 + m)(12 + m) = 0

Subproblem 1
Set the factor '(13 + m)' equal to zero and attempt to solve:

Simplifying
13 + m = 0

Solving
13 + m = 0

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

Add '-13' to each side of the equation.
13 + -13 + m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + m = 0 + -13
m = 0 + -13

Combine like terms: 0 + -13 = -13
m = -13

Simplifying
m = -13
Subproblem 2
Set the factor '(12 + m)' equal to zero and attempt to solve:

Simplifying
12 + m = 0

Solving
12 + m = 0

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

Add '-12' to each side of the equation.
12 + -12 + m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + m = 0 + -12
m = 0 + -12

Combine like terms: 0 + -12 = -12
m = -12

Simplifying
m = -12
Solution
m = {-13, -12}