20x^4-6x^2=0

Solution for 20x^4-6x^2=0 equation:

Simplifying
20x4 + -6x2 = 0

Reorder the terms:
-6x2 + 20x4 = 0

Solving
-6x2 + 20x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-3 + 10x2) = 0

Ignore the factor 2.
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 '(-3 + 10x2)' equal to zero and attempt to solve:

Simplifying
-3 + 10x2 = 0

Solving
-3 + 10x2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 10x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 10x2 = 0 + 3
10x2 = 0 + 3

Combine like terms: 0 + 3 = 3
10x2 = 3

Divide each side by '10'.
x2 = 0.3

Simplifying
x2 = 0.3

Take the square root of each side:
x = {-0.547722558, 0.547722558}
Solution
x = {0, -0.547722558, 0.547722558}