3m^2=2m^4

Solution for 3m^2=2m^4 equation:

Simplifying
3m2 = 2m4

Solving
3m2 = 2m4

Solving for variable 'm'.

Combine like terms: 2m4 + -2m4 = 0
3m2 + -2m4 = 0

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(3 + -2m2) = 0

Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}
Subproblem 2
Set the factor '(3 + -2m2)' equal to zero and attempt to solve:

Simplifying
3 + -2m2 = 0

Solving
3 + -2m2 = 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 + -2m2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m2 = 0 + -3
-2m2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2m2 = -3

Divide each side by '-2'.
m2 = 1.5

Simplifying
m2 = 1.5

Take the square root of each side:
m = {-1.224744871, 1.224744871}
Solution
m = {0, -1.224744871, 1.224744871}