m^2-20m+100m=0

Solution for m^2-20m+100m=0 equation:

Simplifying
m2 + -20m + 100m = 0

Reorder the terms:
-20m + 100m + m2 = 0

Combine like terms: -20m + 100m = 80m
80m + m2 = 0

Solving
80m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(80 + 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 '(80 + m)' equal to zero and attempt to solve:

Simplifying
80 + m = 0

Solving
80 + m = 0

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

Add '-80' to each side of the equation.
80 + -80 + m = 0 + -80

Combine like terms: 80 + -80 = 0
0 + m = 0 + -80
m = 0 + -80

Combine like terms: 0 + -80 = -80
m = -80

Simplifying
m = -80
Solution
m = {0, -80}