2X^2-8X^4=

Solution for 2X^2-8X^4= equation:

Simplifying
2X2 + -8X4 = 0

Solving
2X2 + -8X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2X2'.
2X2(1 + -4X2) = 0

Factor a difference between two squares.
2X2((1 + 2X)(1 + -2X)) = 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 '(1 + 2X)' equal to zero and attempt to solve:

Simplifying
1 + 2X = 0

Solving
1 + 2X = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2X = 0 + -1
2X = 0 + -1

Combine like terms: 0 + -1 = -1
2X = -1

Divide each side by '2'.
X = -0.5

Simplifying
X = -0.5
Subproblem 3
Set the factor '(1 + -2X)' equal to zero and attempt to solve:

Simplifying
1 + -2X = 0

Solving
1 + -2X = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2X = 0 + -1
-2X = 0 + -1

Combine like terms: 0 + -1 = -1
-2X = -1

Divide each side by '-2'.
X = 0.5

Simplifying
X = 0.5
Solution
X = {0, -0.5, 0.5}