(4x+2)x(x^2+2)=0

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Solution for (4x+2)x(x^2+2)=0 equation:


Simplifying
(4x + 2) * x(x2 + 2) = 0

Reorder the terms:
(2 + 4x) * x(x2 + 2) = 0

Reorder the terms:
(2 + 4x) * x(2 + x2) = 0

Reorder the terms for easier multiplication:
x(2 + 4x)(2 + x2) = 0

Multiply (2 + 4x) * (2 + x2)
x(2(2 + x2) + 4x * (2 + x2)) = 0
x((2 * 2 + x2 * 2) + 4x * (2 + x2)) = 0
x((4 + 2x2) + 4x * (2 + x2)) = 0
x(4 + 2x2 + (2 * 4x + x2 * 4x)) = 0
x(4 + 2x2 + (8x + 4x3)) = 0

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

Solving
4x + 8x2 + 2x3 + 4x4 = 0

Solving for variable 'x'.

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

Simplifying
2 + 4x + x2 + 2x3 = 0

Solving
2 + 4x + x2 + 2x3 = 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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