x^2-x^6=A*(x^2-x^4)

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Solution for x^2-x^6=A*(x^2-x^4) equation: 


Simplifying
x2 + -1x6 = A(x2 + -1x4)
x2 + -1x6 = (x2 * A + -1x4 * A)
x2 + -1x6 = (x2A + -1x4A)

Solving
x2 + -1x6 = x2A + -1x4A

Solving for variable 'x'.

Reorder the terms:
x2 + -1x2A + x4A + -1x6 = x2A + -1x4A + -1x2A + x4A

Reorder the terms:
x2 + -1x2A + x4A + -1x6 = x2A + -1x2A + -1x4A + x4A

Combine like terms: x2A + -1x2A = 0
x2 + -1x2A + x4A + -1x6 = 0 + -1x4A + x4A
x2 + -1x2A + x4A + -1x6 = -1x4A + x4A

Combine like terms: -1x4A + x4A = 0
x2 + -1x2A + x4A + -1x6 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1 + -1A + x2A + -1x4) = 0


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 + -1A + x2A + -1x4)' equal to zero and attempt to solve:

Simplifying
1 + -1A + x2A + -1x4 = 0

Solving
1 + -1A + x2A + -1x4 = 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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