Simplifying
2m + 3m2 + -4m = 0
Reorder the terms:
2m + -4m + 3m2 = 0
Combine like terms: 2m + -4m = -2m
-2m + 3m2 = 0
Solving
-2m + 3m2 = 0
Solving for variable 'm'.
Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + 3m) = 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 '(-2 + 3m)' equal to zero and attempt to solve:
Simplifying
-2 + 3m = 0
Solving
-2 + 3m = 0
Move all terms containing m to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 3m = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 3m = 0 + 2
3m = 0 + 2
Combine like terms: 0 + 2 = 2
3m = 2
Divide each side by '3'.
m = 0.6666666667
Simplifying
m = 0.6666666667
Solution
m = {0, 0.6666666667}
Hope This Helps!
