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

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

Multiply (2 + 1X + 2x + xX) * (3 + x)
x(2(3 + x) + 1X * (3 + x) + 2x * (3 + x) + xX(3 + x)) = 0
x((3 * 2 + x * 2) + 1X * (3 + x) + 2x * (3 + x) + xX(3 + x)) = 0
x((6 + 2x) + 1X * (3 + x) + 2x * (3 + x) + xX(3 + x)) = 0
x(6 + 2x + (3 * 1X + x * 1X) + 2x * (3 + x) + xX(3 + x)) = 0
x(6 + 2x + (3X + 1xX) + 2x * (3 + x) + xX(3 + x)) = 0
x(6 + 2x + 3X + 1xX + (3 * 2x + x * 2x) + xX(3 + x)) = 0
x(6 + 2x + 3X + 1xX + (6x + 2x2) + xX(3 + x)) = 0
x(6 + 2x + 3X + 1xX + 6x + 2x2 + (3 * xX + x * xX)) = 0
x(6 + 2x + 3X + 1xX + 6x + 2x2 + (3xX + x2X)) = 0

Reorder the terms:
x(6 + 3X + 2x + 6x + 1xX + 3xX + 2x2 + x2X) = 0

Combine like terms: 2x + 6x = 8x
x(6 + 3X + 8x + 1xX + 3xX + 2x2 + x2X) = 0

Combine like terms: 1xX + 3xX = 4xX
x(6 + 3X + 8x + 4xX + 2x2 + x2X) = 0
(6 * x + 3X * x + 8x * x + 4xX * x + 2x2 * x + x2X * x) = 0
(6x + 3xX + 8x2 + 4x2X + 2x3 + x3X) = 0

Solving
6x + 3xX + 8x2 + 4x2X + 2x3 + x3X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + 3X + 8x + 4xX + 2x2 + x2X) = 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 + 3X + 8x + 4xX + 2x2 + x2X)' equal to zero and attempt to solve:

Simplifying
6 + 3X + 8x + 4xX + 2x2 + x2X = 0

Solving
6 + 3X + 8x + 4xX + 2x2 + x2X = 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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