3x^4-18x=4x(x^2-4)

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


Simplifying
3x4 + -18x = 4x(x2 + -4)

Reorder the terms:
-18x + 3x4 = 4x(x2 + -4)

Reorder the terms:
-18x + 3x4 = 4x(-4 + x2)
-18x + 3x4 = (-4 * 4x + x2 * 4x)
-18x + 3x4 = (-16x + 4x3)

Solving
-18x + 3x4 = -16x + 4x3

Solving for variable 'x'.

Reorder the terms:
-18x + 16x + -4x3 + 3x4 = -16x + 4x3 + 16x + -4x3

Combine like terms: -18x + 16x = -2x
-2x + -4x3 + 3x4 = -16x + 4x3 + 16x + -4x3

Reorder the terms:
-2x + -4x3 + 3x4 = -16x + 16x + 4x3 + -4x3

Combine like terms: -16x + 16x = 0
-2x + -4x3 + 3x4 = 0 + 4x3 + -4x3
-2x + -4x3 + 3x4 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-2x + -4x3 + 3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + -4x2 + 3x3) = 0

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 '(-2 + -4x2 + 3x3)' equal to zero and attempt to solve: Simplifying -2 + -4x2 + 3x3 = 0 Solving -2 + -4x2 + 3x3 = 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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