-2h^2+2h^4-h^6=

Solution for -2h^2+2h^4-h^6= equation:

Simplifying
-2h2 + 2h4 + -1h6 = 0

Solving
-2h2 + 2h4 + -1h6 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h2'.
h2(-2 + 2h2 + -1h4) = 0

Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve:

Simplifying
h2 = 0

Solving
h2 = 0

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

Simplifying
h2 = 0

Take the square root of each side:
h = {0}
Subproblem 2
Set the factor '(-2 + 2h2 + -1h4)' equal to zero and attempt to solve:

Simplifying
-2 + 2h2 + -1h4 = 0

Solving
-2 + 2h2 + -1h4 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -2h2 + h4 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2h2 + -2 + h4 = 0 + -2

Reorder the terms:
2 + -2 + -2h2 + h4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2h2 + h4 = 0 + -2
-2h2 + h4 = 0 + -2

Combine like terms: 0 + -2 = -2
-2h2 + h4 = -2

The h term is -2h2.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2h2 + 1 + h4 = -2 + 1

Reorder the terms:
1 + -2h2 + h4 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2h2 + h4 = -1

Factor a perfect square on the left side:
(h2 + -1)(h2 + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
h = {0}