(4x^3-54x)(x^4-18x^2+82)=

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Solution for (4x^3-54x)(x^4-18x^2+82)= equation: 


Simplifying
(4x3 + -54x)(x4 + -18x2 + 82) = 0

Reorder the terms:
(-54x + 4x3)(x4 + -18x2 + 82) = 0

Reorder the terms:
(-54x + 4x3)(82 + -18x2 + x4) = 0

Multiply (-54x + 4x3) * (82 + -18x2 + x4)
(-54x * (82 + -18x2 + x4) + 4x3 * (82 + -18x2 + x4)) = 0
((82 * -54x + -18x2 * -54x + x4 * -54x) + 4x3 * (82 + -18x2 + x4)) = 0
((-4428x + 972x3 + -54x5) + 4x3 * (82 + -18x2 + x4)) = 0
(-4428x + 972x3 + -54x5 + (82 * 4x3 + -18x2 * 4x3 + x4 * 4x3)) = 0
(-4428x + 972x3 + -54x5 + (328x3 + -72x5 + 4x7)) = 0

Reorder the terms:
(-4428x + 972x3 + 328x3 + -54x5 + -72x5 + 4x7) = 0

Combine like terms: 972x3 + 328x3 = 1300x3
(-4428x + 1300x3 + -54x5 + -72x5 + 4x7) = 0

Combine like terms: -54x5 + -72x5 = -126x5
(-4428x + 1300x3 + -126x5 + 4x7) = 0

Solving
-4428x + 1300x3 + -126x5 + 4x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-2214 + 650x2 + -63x4 + 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 '(-2214 + 650x2 + -63x4 + 2x6)' equal to zero and attempt to solve:

Simplifying
-2214 + 650x2 + -63x4 + 2x6 = 0

Solving
-2214 + 650x2 + -63x4 + 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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