5x^4-3x^2=0

Solution for 5x^4-3x^2=0 equation:

Simplifying
5x4 + -3x2 = 0

Reorder the terms:
-3x2 + 5x4 = 0

Solving
-3x2 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3 + 5x2) = 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 '(-3 + 5x2)' equal to zero and attempt to solve:

Simplifying
-3 + 5x2 = 0

Solving
-3 + 5x2 = 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 + 5x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5x2 = 0 + 3
5x2 = 0 + 3

Combine like terms: 0 + 3 = 3
5x2 = 3

Divide each side by '5'.
x2 = 0.6

Simplifying
x2 = 0.6

Take the square root of each side:
x = {-0.774596669, 0.774596669}
Solution
x = {0, -0.774596669, 0.774596669}