121m^4-36m^2=0

Solution for 121m^4-36m^2=0 equation:

Simplifying
121m4 + -36m2 = 0

Reorder the terms:
-36m2 + 121m4 = 0

Solving
-36m2 + 121m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-36 + 121m2) = 0

Factor a difference between two squares.
m2((6 + 11m)(-6 + 11m)) = 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 '(6 + 11m)' equal to zero and attempt to solve:

Simplifying
6 + 11m = 0

Solving
6 + 11m = 0

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

Add '-6' to each side of the equation.
6 + -6 + 11m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11m = 0 + -6
11m = 0 + -6

Combine like terms: 0 + -6 = -6
11m = -6

Divide each side by '11'.
m = -0.5454545455

Simplifying
m = -0.5454545455
Subproblem 3
Set the factor '(-6 + 11m)' equal to zero and attempt to solve:

Simplifying
-6 + 11m = 0

Solving
-6 + 11m = 0

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

Add '6' to each side of the equation.
-6 + 6 + 11m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 11m = 0 + 6
11m = 0 + 6

Combine like terms: 0 + 6 = 6
11m = 6

Divide each side by '11'.
m = 0.5454545455

Simplifying
m = 0.5454545455
Solution
m = {0, -0.5454545455, 0.5454545455}