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

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


Simplifying
(x + 4)(x3 + -2x + 6) * x = 0

Reorder the terms:
(4 + x)(x3 + -2x + 6) * x = 0

Reorder the terms:
(4 + x)(6 + -2x + x3) * x = 0

Reorder the terms for easier multiplication:
x(4 + x)(6 + -2x + x3) = 0

Multiply (4 + x) * (6 + -2x + x3)
x(4(6 + -2x + x3) + x(6 + -2x + x3)) = 0
x((6 * 4 + -2x * 4 + x3 * 4) + x(6 + -2x + x3)) = 0
x((24 + -8x + 4x3) + x(6 + -2x + x3)) = 0
x(24 + -8x + 4x3 + (6 * x + -2x * x + x3 * x)) = 0
x(24 + -8x + 4x3 + (6x + -2x2 + x4)) = 0

Reorder the terms:
x(24 + -8x + 6x + -2x2 + 4x3 + x4) = 0

Combine like terms: -8x + 6x = -2x
x(24 + -2x + -2x2 + 4x3 + x4) = 0
(24 * x + -2x * x + -2x2 * x + 4x3 * x + x4 * x) = 0
(24x + -2x2 + -2x3 + 4x4 + x5) = 0

Solving
24x + -2x2 + -2x3 + 4x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + -2x + -2x2 + 4x3 + x4) = 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 '(24 + -2x + -2x2 + 4x3 + x4)' equal to zero and attempt to solve:

Simplifying
24 + -2x + -2x2 + 4x3 + x4 = 0

Solving
24 + -2x + -2x2 + 4x3 + x4 = 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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