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

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

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

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

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

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

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

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

Multiply (2 + 3x + x2) * (3 + x)
x(2(3 + x) + 3x * (3 + x) + x2(3 + x)) = 0
x((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x)) = 0
x((6 + 2x) + 3x * (3 + x) + x2(3 + x)) = 0
x(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x)) = 0
x(6 + 2x + (9x + 3x2) + x2(3 + x)) = 0
x(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2)) = 0
x(6 + 2x + 9x + 3x2 + (3x2 + x3)) = 0

Combine like terms: 2x + 9x = 11x
x(6 + 11x + 3x2 + 3x2 + x3) = 0

Combine like terms: 3x2 + 3x2 = 6x2
x(6 + 11x + 6x2 + x3) = 0
(6 * x + 11x * x + 6x2 * x + x3 * x) = 0
(6x + 11x2 + 6x3 + x4) = 0

Solving
6x + 11x2 + 6x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + 11x + 6x2 + 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 + 11x + 6x2 + x3)' equal to zero and attempt to solve:

Simplifying
6 + 11x + 6x2 + x3 = 0

Solving
6 + 11x + 6x2 + 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}