x(x+1)(x+2)(x+3)3000=0

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Solution for x(x+1)(x+2)(x+3)3000=0 equation: 


Simplifying
x(x + 1)(x + 2)(x + 3) * 3000 = 0

Reorder the terms:
x(1 + x)(x + 2)(x + 3) * 3000 = 0

Reorder the terms:
x(1 + x)(2 + x)(x + 3) * 3000 = 0

Reorder the terms:
x(1 + x)(2 + x)(3 + x) * 3000 = 0

Reorder the terms for easier multiplication:
3000x(1 + x)(2 + x)(3 + x) = 0

Multiply (1 + x) * (2 + x)
3000x(1(2 + x) + x(2 + x))(3 + x) = 0
3000x((2 * 1 + x * 1) + x(2 + x))(3 + x) = 0
3000x((2 + 1x) + x(2 + x))(3 + x) = 0
3000x(2 + 1x + (2 * x + x * x))(3 + x) = 0
3000x(2 + 1x + (2x + x2))(3 + x) = 0

Combine like terms: 1x + 2x = 3x
3000x(2 + 3x + x2)(3 + x) = 0

Multiply (2 + 3x + x2) * (3 + x)
3000x(2(3 + x) + 3x * (3 + x) + x2(3 + x)) = 0
3000x((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x)) = 0
3000x((6 + 2x) + 3x * (3 + x) + x2(3 + x)) = 0
3000x(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x)) = 0
3000x(6 + 2x + (9x + 3x2) + x2(3 + x)) = 0
3000x(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2)) = 0
3000x(6 + 2x + 9x + 3x2 + (3x2 + x3)) = 0

Combine like terms: 2x + 9x = 11x
3000x(6 + 11x + 3x2 + 3x2 + x3) = 0

Combine like terms: 3x2 + 3x2 = 6x2
3000x(6 + 11x + 6x2 + x3) = 0
(6 * 3000x + 11x * 3000x + 6x2 * 3000x + x3 * 3000x) = 0
(18000x + 33000x2 + 18000x3 + 3000x4) = 0

Solving
18000x + 33000x2 + 18000x3 + 3000x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3000x'.
3000x(6 + 11x + 6x2 + x3) = 0

Ignore the factor 3000.

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}

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