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

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


Simplifying
0 = (x4 + -16)(2x2 + -6)

Reorder the terms:
0 = (-16 + x4)(2x2 + -6)

Reorder the terms:
0 = (-16 + x4)(-6 + 2x2)

Multiply (-16 + x4) * (-6 + 2x2)
0 = (-16(-6 + 2x2) + x4(-6 + 2x2))
0 = ((-6 * -16 + 2x2 * -16) + x4(-6 + 2x2))
0 = ((96 + -32x2) + x4(-6 + 2x2))
0 = (96 + -32x2 + (-6 * x4 + 2x2 * x4))
0 = (96 + -32x2 + (-6x4 + 2x6))
0 = (96 + -32x2 + -6x4 + 2x6)

Solving
0 = 96 + -32x2 + -6x4 + 2x6

Solving for variable 'x'.

Combine like terms: 0 + -96 = -96
-96 + 32x2 + 6x4 + -2x6 = 96 + -32x2 + -6x4 + 2x6 + -96 + 32x2 + 6x4 + -2x6

Reorder the terms:
-96 + 32x2 + 6x4 + -2x6 = 96 + -96 + -32x2 + 32x2 + -6x4 + 6x4 + 2x6 + -2x6

Combine like terms: 96 + -96 = 0
-96 + 32x2 + 6x4 + -2x6 = 0 + -32x2 + 32x2 + -6x4 + 6x4 + 2x6 + -2x6
-96 + 32x2 + 6x4 + -2x6 = -32x2 + 32x2 + -6x4 + 6x4 + 2x6 + -2x6

Combine like terms: -32x2 + 32x2 = 0
-96 + 32x2 + 6x4 + -2x6 = 0 + -6x4 + 6x4 + 2x6 + -2x6
-96 + 32x2 + 6x4 + -2x6 = -6x4 + 6x4 + 2x6 + -2x6

Combine like terms: -6x4 + 6x4 = 0
-96 + 32x2 + 6x4 + -2x6 = 0 + 2x6 + -2x6
-96 + 32x2 + 6x4 + -2x6 = 2x6 + -2x6

Combine like terms: 2x6 + -2x6 = 0
-96 + 32x2 + 6x4 + -2x6 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + 16x2 + 3x4 + -1x6) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-48 + 16x2 + 3x4 + -1x6)' equal to zero and attempt to solve:

Simplifying
-48 + 16x2 + 3x4 + -1x6 = 0

Solving
-48 + 16x2 + 3x4 + -1x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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