(x^3+x)(2x^2-3x-2)=0

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Solution for (x^3+x)(2x^2-3x-2)=0 equation: 


Simplifying
(x3 + x)(2x2 + -3x + -2) = 0

Reorder the terms:
(x + x3)(2x2 + -3x + -2) = 0

Reorder the terms:
(x + x3)(-2 + -3x + 2x2) = 0

Multiply (x + x3) * (-2 + -3x + 2x2)
(x(-2 + -3x + 2x2) + x3(-2 + -3x + 2x2)) = 0
((-2 * x + -3x * x + 2x2 * x) + x3(-2 + -3x + 2x2)) = 0
((-2x + -3x2 + 2x3) + x3(-2 + -3x + 2x2)) = 0
(-2x + -3x2 + 2x3 + (-2 * x3 + -3x * x3 + 2x2 * x3)) = 0
(-2x + -3x2 + 2x3 + (-2x3 + -3x4 + 2x5)) = 0

Combine like terms: 2x3 + -2x3 = 0
(-2x + -3x2 + 0 + -3x4 + 2x5) = 0
(-2x + -3x2 + -3x4 + 2x5) = 0

Solving
-2x + -3x2 + -3x4 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + -3x + -3x3 + 2x4) = 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 + -3x + -3x3 + 2x4)' equal to zero and attempt to solve:

Simplifying
-2 + -3x + -3x3 + 2x4 = 0

Solving
-2 + -3x + -3x3 + 2x4 = 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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