8y^4-3y^2=0

Solution for 8y^4-3y^2=0 equation:

Simplifying
8y4 + -3y2 = 0

Reorder the terms:
-3y2 + 8y4 = 0

Solving
-3y2 + 8y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-3 + 8y2) = 0

Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(-3 + 8y2)' equal to zero and attempt to solve:

Simplifying
-3 + 8y2 = 0

Solving
-3 + 8y2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 8y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8y2 = 0 + 3
8y2 = 0 + 3

Combine like terms: 0 + 3 = 3
8y2 = 3

Divide each side by '8'.
y2 = 0.375

Simplifying
y2 = 0.375

Take the square root of each side:
y = {-0.612372436, 0.612372436}
Solution
y = {0, -0.612372436, 0.612372436}