4m^4-m^2=

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

Simplifying
4m4 + -1m2 = 0

Reorder the terms:
-1m2 + 4m4 = 0

Solving
-1m2 + 4m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-1 + 4m2) = 0

Factor a difference between two squares.
m2((1 + 2m)(-1 + 2m)) = 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 '(1 + 2m)' equal to zero and attempt to solve:

Simplifying
1 + 2m = 0

Solving
1 + 2m = 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 + 2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 0 + -1
2m = 0 + -1

Combine like terms: 0 + -1 = -1
2m = -1

Divide each side by '2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 3
Set the factor '(-1 + 2m)' equal to zero and attempt to solve:

Simplifying
-1 + 2m = 0

Solving
-1 + 2m = 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 + 2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2m = 0 + 1
2m = 0 + 1

Combine like terms: 0 + 1 = 1
2m = 1

Divide each side by '2'.
m = 0.5

Simplifying
m = 0.5
Solution
m = {0, -0.5, 0.5}