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

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


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

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

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

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

Multiply (3 + x) * (-2 + x)
x(3(-2 + x) + x(-2 + x))(-1 + x) = 0
x((-2 * 3 + x * 3) + x(-2 + x))(-1 + x) = 0
x((-6 + 3x) + x(-2 + x))(-1 + x) = 0
x(-6 + 3x + (-2 * x + x * x))(-1 + x) = 0
x(-6 + 3x + (-2x + x2))(-1 + x) = 0

Combine like terms: 3x + -2x = 1x
x(-6 + 1x + x2)(-1 + x) = 0

Multiply (-6 + 1x + x2) * (-1 + x)
x(-6(-1 + x) + 1x * (-1 + x) + x2(-1 + x)) = 0
x((-1 * -6 + x * -6) + 1x * (-1 + x) + x2(-1 + x)) = 0
x((6 + -6x) + 1x * (-1 + x) + x2(-1 + x)) = 0
x(6 + -6x + (-1 * 1x + x * 1x) + x2(-1 + x)) = 0
x(6 + -6x + (-1x + 1x2) + x2(-1 + x)) = 0
x(6 + -6x + -1x + 1x2 + (-1 * x2 + x * x2)) = 0
x(6 + -6x + -1x + 1x2 + (-1x2 + x3)) = 0

Combine like terms: -6x + -1x = -7x
x(6 + -7x + 1x2 + -1x2 + x3) = 0

Combine like terms: 1x2 + -1x2 = 0
x(6 + -7x + 0 + x3) = 0
x(6 + -7x + x3) = 0
(6 * x + -7x * x + x3 * x) = 0
(6x + -7x2 + x4) = 0

Solving
6x + -7x2 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -7x + x3) = 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 '(6 + -7x + x3)' equal to zero and attempt to solve:

Simplifying
6 + -7x + x3 = 0

Solving
6 + -7x + x3 = 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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