(x-6)(x^4-4x^2)+(x^2-16)=0

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Solution for (x-6)(x^4-4x^2)+(x^2-16)=0 equation: 


Simplifying
(x + -6)(x4 + -4x2) + (x2 + -16) = 0

Reorder the terms:
(-6 + x)(x4 + -4x2) + (x2 + -16) = 0

Reorder the terms:
(-6 + x)(-4x2 + x4) + (x2 + -16) = 0

Multiply (-6 + x) * (-4x2 + x4)
(-6(-4x2 + x4) + x(-4x2 + x4)) + (x2 + -16) = 0
((-4x2 * -6 + x4 * -6) + x(-4x2 + x4)) + (x2 + -16) = 0
((24x2 + -6x4) + x(-4x2 + x4)) + (x2 + -16) = 0
(24x2 + -6x4 + (-4x2 * x + x4 * x)) + (x2 + -16) = 0
(24x2 + -6x4 + (-4x3 + x5)) + (x2 + -16) = 0

Reorder the terms:
(24x2 + -4x3 + -6x4 + x5) + (x2 + -16) = 0
(24x2 + -4x3 + -6x4 + x5) + (x2 + -16) = 0

Reorder the terms:
24x2 + -4x3 + -6x4 + x5 + (-16 + x2) = 0

Remove parenthesis around (-16 + x2)
24x2 + -4x3 + -6x4 + x5 + -16 + x2 = 0

Reorder the terms:
-16 + 24x2 + x2 + -4x3 + -6x4 + x5 = 0

Combine like terms: 24x2 + x2 = 25x2
-16 + 25x2 + -4x3 + -6x4 + x5 = 0

Solving
-16 + 25x2 + -4x3 + -6x4 + x5 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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