100m^2=-6m

Solution for 100m^2=-6m equation:

Simplifying
100m2 = -6m

Solving
100m2 = -6m

Solving for variable 'm'.

Reorder the terms:
6m + 100m2 = -6m + 6m

Combine like terms: -6m + 6m = 0
6m + 100m2 = 0

Factor out the Greatest Common Factor (GCF), '2m'.
2m(3 + 50m) = 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 + 50m)' equal to zero and attempt to solve:

Simplifying
3 + 50m = 0

Solving
3 + 50m = 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 + 50m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 50m = 0 + -3
50m = 0 + -3

Combine like terms: 0 + -3 = -3
50m = -3

Divide each side by '50'.
m = -0.06

Simplifying
m = -0.06
Solution
m = {0, -0.06}