-10h^6+4h^4-25h^2=

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Solution for -10h^6+4h^4-25h^2= equation: 


Simplifying
-10h6 + 4h4 + -25h2 = 0

Reorder the terms:
-25h2 + 4h4 + -10h6 = 0

Solving
-25h2 + 4h4 + -10h6 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h2'.
h2(-25 + 4h2 + -10h4) = 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 '(-25 + 4h2 + -10h4)' equal to zero and attempt to solve:

Simplifying
-25 + 4h2 + -10h4 = 0

Solving
-25 + 4h2 + -10h4 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
2.5 + -0.4h2 + h4 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.4h2 + -2.5 + h4 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.4h2 + h4 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.4h2 + h4 = 0 + -2.5
-0.4h2 + h4 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.4h2 + h4 = -2.5

The h term is -0.4h2.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4h2 + 0.04 + h4 = -2.5 + 0.04

Reorder the terms:
0.04 + -0.4h2 + h4 = -2.5 + 0.04

Combine like terms: -2.5 + 0.04 = -2.46
0.04 + -0.4h2 + h4 = -2.46

Factor a perfect square on the left side:
(h2 + -0.2)(h2 + -0.2) = -2.46

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}

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