46m^2+33m=0

Solution for 46m^2+33m=0 equation:

Simplifying
46m2 + 33m = 0

Reorder the terms:
33m + 46m2 = 0

Solving
33m + 46m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(33 + 46m) = 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 '(33 + 46m)' equal to zero and attempt to solve:

Simplifying
33 + 46m = 0

Solving
33 + 46m = 0

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

Add '-33' to each side of the equation.
33 + -33 + 46m = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 46m = 0 + -33
46m = 0 + -33

Combine like terms: 0 + -33 = -33
46m = -33

Divide each side by '46'.
m = -0.7173913043

Simplifying
m = -0.7173913043
Solution
m = {0, -0.7173913043}