(x^4-2x^2+1)*(4x^3-6x)=

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Solution for (x^4-2x^2+1)*(4x^3-6x)= equation: 


Simplifying
(x4 + -2x2 + 1)(4x3 + -6x) = 0

Reorder the terms:
(1 + -2x2 + x4)(4x3 + -6x) = 0

Reorder the terms:
(1 + -2x2 + x4)(-6x + 4x3) = 0

Multiply (1 + -2x2 + x4) * (-6x + 4x3)
(1(-6x + 4x3) + -2x2 * (-6x + 4x3) + x4(-6x + 4x3)) = 0
((-6x * 1 + 4x3 * 1) + -2x2 * (-6x + 4x3) + x4(-6x + 4x3)) = 0
((-6x + 4x3) + -2x2 * (-6x + 4x3) + x4(-6x + 4x3)) = 0
(-6x + 4x3 + (-6x * -2x2 + 4x3 * -2x2) + x4(-6x + 4x3)) = 0
(-6x + 4x3 + (12x3 + -8x5) + x4(-6x + 4x3)) = 0
(-6x + 4x3 + 12x3 + -8x5 + (-6x * x4 + 4x3 * x4)) = 0
(-6x + 4x3 + 12x3 + -8x5 + (-6x5 + 4x7)) = 0

Combine like terms: 4x3 + 12x3 = 16x3
(-6x + 16x3 + -8x5 + -6x5 + 4x7) = 0

Combine like terms: -8x5 + -6x5 = -14x5
(-6x + 16x3 + -14x5 + 4x7) = 0

Solving
-6x + 16x3 + -14x5 + 4x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 8x2 + -7x4 + 2x6) = 0

Ignore the factor 2.

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 '(-3 + 8x2 + -7x4 + 2x6)' equal to zero and attempt to solve:

Simplifying
-3 + 8x2 + -7x4 + 2x6 = 0

Solving
-3 + 8x2 + -7x4 + 2x6 = 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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