-75m^4+3m^2=0

Solution for -75m^4+3m^2=0 equation:

Simplifying
-75m4 + 3m2 = 0

Reorder the terms:
3m2 + -75m4 = 0

Solving
3m2 + -75m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m2'.
3m2(1 + -25m2) = 0

Factor a difference between two squares.
3m2((1 + 5m)(1 + -5m)) = 0

Ignore the factor 3.
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 '(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
Subproblem 3
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, 0.2}