H(x)=x^2-x^4

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Solution for H(x)=x^2-x^4 equation: 


Simplifying
H(x) = x2 + -1x4

Multiply H * x
xH = x2 + -1x4

Solving
xH = x2 + -1x4

Solving for variable 'x'.

Reorder the terms:
xH + -1x2 + x4 = x2 + -1x2 + -1x4 + x4

Combine like terms: x2 + -1x2 = 0
xH + -1x2 + x4 = 0 + -1x4 + x4
xH + -1x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
xH + -1x2 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(H + -1x + x3) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(H + -1x + x3)' equal to zero and attempt to solve:

Simplifying
H + -1x + x3 = 0

Solving
H + -1x + x3 = 0

The solution to this equation could not be determined.

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

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