121x^4-36x^2=0

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

Simplifying
121x4 + -36x2 = 0

Reorder the terms:
-36x2 + 121x4 = 0

Solving
-36x2 + 121x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-36 + 121x2) = 0

Factor a difference between two squares.
x2((6 + 11x)(-6 + 11x)) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(6 + 11x)' equal to zero and attempt to solve:

Simplifying
6 + 11x = 0

Solving
6 + 11x = 0

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

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

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

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

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

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

Simplifying
-6 + 11x = 0

Solving
-6 + 11x = 0

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

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

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

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

Divide each side by '11'.
x = 0.5454545455

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