5m^2+(-m)=0

Solution for 5m^2+(-m)=0 equation:

Simplifying
5m2 + (-1m) = 0

Reorder the terms:
(-1m) + 5m2 = 0

Solving
(-1m) + 5m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1 + 5m) = 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 '(-1 + 5m)' equal to zero and attempt to solve:

Simplifying
-1 + 5m = 0

Solving
-1 + 5m = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5m = 0 + 1
5m = 0 + 1

Combine like terms: 0 + 1 = 1
5m = 1

Divide each side by '5'.
m = 0.2

Simplifying
m = 0.2
Solution
m = {0, 0.2}