x(x-1)(3x+2)(x^2+1)=0

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Solution for x(x-1)(3x+2)(x^2+1)=0 equation: 


Simplifying
x(x + -1)(3x + 2)(x2 + 1) = 0

Reorder the terms:
x(-1 + x)(3x + 2)(x2 + 1) = 0

Reorder the terms:
x(-1 + x)(2 + 3x)(x2 + 1) = 0

Reorder the terms:
x(-1 + x)(2 + 3x)(1 + x2) = 0

Multiply (-1 + x) * (2 + 3x)
x(-1(2 + 3x) + x(2 + 3x))(1 + x2) = 0
x((2 * -1 + 3x * -1) + x(2 + 3x))(1 + x2) = 0
x((-2 + -3x) + x(2 + 3x))(1 + x2) = 0
x(-2 + -3x + (2 * x + 3x * x))(1 + x2) = 0
x(-2 + -3x + (2x + 3x2))(1 + x2) = 0

Combine like terms: -3x + 2x = -1x
x(-2 + -1x + 3x2)(1 + x2) = 0

Multiply (-2 + -1x + 3x2) * (1 + x2)
x(-2(1 + x2) + -1x * (1 + x2) + 3x2 * (1 + x2)) = 0
x((1 * -2 + x2 * -2) + -1x * (1 + x2) + 3x2 * (1 + x2)) = 0
x((-2 + -2x2) + -1x * (1 + x2) + 3x2 * (1 + x2)) = 0
x(-2 + -2x2 + (1 * -1x + x2 * -1x) + 3x2 * (1 + x2)) = 0
x(-2 + -2x2 + (-1x + -1x3) + 3x2 * (1 + x2)) = 0
x(-2 + -2x2 + -1x + -1x3 + (1 * 3x2 + x2 * 3x2)) = 0
x(-2 + -2x2 + -1x + -1x3 + (3x2 + 3x4)) = 0

Reorder the terms:
x(-2 + -1x + -2x2 + 3x2 + -1x3 + 3x4) = 0

Combine like terms: -2x2 + 3x2 = 1x2
x(-2 + -1x + 1x2 + -1x3 + 3x4) = 0
(-2 * x + -1x * x + 1x2 * x + -1x3 * x + 3x4 * x) = 0
(-2x + -1x2 + 1x3 + -1x4 + 3x5) = 0

Solving
-2x + -1x2 + 1x3 + -1x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + -1x + x2 + -1x3 + 3x4) = 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 + -1x + x2 + -1x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
-2 + -1x + x2 + -1x3 + 3x4 = 0

Solving
-2 + -1x + x2 + -1x3 + 3x4 = 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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