50h^4-32h^2=

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Solution for 50h^4-32h^2= equation: 


Simplifying
50h4 + -32h2 = 0

Reorder the terms:
-32h2 + 50h4 = 0

Solving
-32h2 + 50h4 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h2'.
2h2(-16 + 25h2) = 0

Factor a difference between two squares.
2h2((4 + 5h)(-4 + 5h)) = 0

Ignore the factor 2.

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 '(4 + 5h)' equal to zero and attempt to solve:

Simplifying
4 + 5h = 0

Solving
4 + 5h = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5h = 0 + -4
5h = 0 + -4

Combine like terms: 0 + -4 = -4
5h = -4

Divide each side by '5'.
h = -0.8

Simplifying
h = -0.8

Subproblem 3
Set the factor '(-4 + 5h)' equal to zero and attempt to solve:

Simplifying
-4 + 5h = 0

Solving
-4 + 5h = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5h = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5h = 0 + 4
5h = 0 + 4

Combine like terms: 0 + 4 = 4
5h = 4

Divide each side by '5'.
h = 0.8

Simplifying
h = 0.8
Solution
h = {0, -0.8, 0.8}

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