(-2x^4)+(8x^2)=0

Solution for (-2x^4)+(8x^2)=0 equation:

Simplifying
(-2x4) + (8x2) = 0

Reorder the terms:
(8x2) + (-2x4) = 0

Solving
(8x2) + (-2x4) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(4 + (-1x2)) = 0

Factor a difference between two squares.
2x2((2 + x)(2 + (-1x))) = 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Subproblem 3
Set the factor '(2 + (-1x))' equal to zero and attempt to solve:

Simplifying
2 + (-1x) = 0

Solving
2 + (-1x) = 0

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

Add '-2' to each side of the equation.
2 + -2 + (-1x) = 0 + -2

Combine like terms: 2 + -2 = 0
0 + (-1x) = 0 + -2
(-1x) = 0 + -2

Combine like terms: 0 + -2 = -2
(-1x) = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, -2, 2}