m^2+(m-6)m=

Solution for m^2+(m-6)m= equation:

Simplifying
m2 + (m + -6) * m = 0

Reorder the terms:
m2 + (-6 + m) * m = 0

Reorder the terms for easier multiplication:
m2 + m(-6 + m) = 0
m2 + (-6 * m + m * m) = 0
m2 + (-6m + m2) = 0

Reorder the terms:
-6m + m2 + m2 = 0

Combine like terms: m2 + m2 = 2m2
-6m + 2m2 = 0

Solving
-6m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-3 + m) = 0

Ignore the factor 2.
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 '(-3 + m)' equal to zero and attempt to solve:

Simplifying
-3 + m = 0

Solving
-3 + m = 0

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

Add '3' to each side of the equation.
-3 + 3 + m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + m = 0 + 3
m = 0 + 3

Combine like terms: 0 + 3 = 3
m = 3

Simplifying
m = 3
Solution
m = {0, 3}