m^2-10m=0

Solution for m^2-10m=0 equation:

Simplifying
m2 + -10m = 0

Reorder the terms:
-10m + m2 = 0

Solving
-10m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-10 + 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 '(-10 + m)' equal to zero and attempt to solve:

Simplifying
-10 + m = 0

Solving
-10 + m = 0

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

Add '10' to each side of the equation.
-10 + 10 + m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + m = 0 + 10
m = 0 + 10

Combine like terms: 0 + 10 = 10
m = 10

Simplifying
m = 10
Solution
m = {0, 10}