m^2-8m+m=0

Solution for m^2-8m+m=0 equation:

Simplifying
m2 + -8m + m = 0

Reorder the terms:
-8m + m + m2 = 0

Combine like terms: -8m + m = -7m
-7m + m2 = 0

Solving
-7m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-7 + 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 '(-7 + m)' equal to zero and attempt to solve:

Simplifying
-7 + m = 0

Solving
-7 + m = 0

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

Add '7' to each side of the equation.
-7 + 7 + m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + m = 0 + 7
m = 0 + 7

Combine like terms: 0 + 7 = 7
m = 7

Simplifying
m = 7
Solution
m = {0, 7}