m^2+26m=

Solution for m^2+26m= equation:

Simplifying
m2 + 26m = 0

Reorder the terms:
26m + m2 = 0

Solving
26m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
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
Solution
m = {0, -26}