(x+2)(x+3)(x+4)(x+1)+-24=0

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Solution for (x+2)(x+3)(x+4)(x+1)+-24=0 equation: 


Simplifying
(x + 2)(x + 3)(x + 4)(x + 1) + -24 = 0

Reorder the terms:
(2 + x)(x + 3)(x + 4)(x + 1) + -24 = 0

Reorder the terms:
(2 + x)(3 + x)(x + 4)(x + 1) + -24 = 0

Reorder the terms:
(2 + x)(3 + x)(4 + x)(x + 1) + -24 = 0

Reorder the terms:
(2 + x)(3 + x)(4 + x)(1 + x) + -24 = 0

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(4 + x)(1 + x) + -24 = 0
((3 * 2 + x * 2) + x(3 + x))(4 + x)(1 + x) + -24 = 0
((6 + 2x) + x(3 + x))(4 + x)(1 + x) + -24 = 0
(6 + 2x + (3 * x + x * x))(4 + x)(1 + x) + -24 = 0
(6 + 2x + (3x + x2))(4 + x)(1 + x) + -24 = 0

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(4 + x)(1 + x) + -24 = 0

Multiply (6 + 5x + x2) * (4 + x)
(6(4 + x) + 5x * (4 + x) + x2(4 + x))(1 + x) + -24 = 0
((4 * 6 + x * 6) + 5x * (4 + x) + x2(4 + x))(1 + x) + -24 = 0
((24 + 6x) + 5x * (4 + x) + x2(4 + x))(1 + x) + -24 = 0
(24 + 6x + (4 * 5x + x * 5x) + x2(4 + x))(1 + x) + -24 = 0
(24 + 6x + (20x + 5x2) + x2(4 + x))(1 + x) + -24 = 0
(24 + 6x + 20x + 5x2 + (4 * x2 + x * x2))(1 + x) + -24 = 0
(24 + 6x + 20x + 5x2 + (4x2 + x3))(1 + x) + -24 = 0

Combine like terms: 6x + 20x = 26x
(24 + 26x + 5x2 + 4x2 + x3)(1 + x) + -24 = 0

Combine like terms: 5x2 + 4x2 = 9x2
(24 + 26x + 9x2 + x3)(1 + x) + -24 = 0

Multiply (24 + 26x + 9x2 + x3) * (1 + x)
(24(1 + x) + 26x * (1 + x) + 9x2 * (1 + x) + x3(1 + x)) + -24 = 0
((1 * 24 + x * 24) + 26x * (1 + x) + 9x2 * (1 + x) + x3(1 + x)) + -24 = 0
((24 + 24x) + 26x * (1 + x) + 9x2 * (1 + x) + x3(1 + x)) + -24 = 0
(24 + 24x + (1 * 26x + x * 26x) + 9x2 * (1 + x) + x3(1 + x)) + -24 = 0
(24 + 24x + (26x + 26x2) + 9x2 * (1 + x) + x3(1 + x)) + -24 = 0
(24 + 24x + 26x + 26x2 + (1 * 9x2 + x * 9x2) + x3(1 + x)) + -24 = 0
(24 + 24x + 26x + 26x2 + (9x2 + 9x3) + x3(1 + x)) + -24 = 0
(24 + 24x + 26x + 26x2 + 9x2 + 9x3 + (1 * x3 + x * x3)) + -24 = 0
(24 + 24x + 26x + 26x2 + 9x2 + 9x3 + (1x3 + x4)) + -24 = 0

Combine like terms: 24x + 26x = 50x
(24 + 50x + 26x2 + 9x2 + 9x3 + 1x3 + x4) + -24 = 0

Combine like terms: 26x2 + 9x2 = 35x2
(24 + 50x + 35x2 + 9x3 + 1x3 + x4) + -24 = 0

Combine like terms: 9x3 + 1x3 = 10x3
(24 + 50x + 35x2 + 10x3 + x4) + -24 = 0

Reorder the terms:
24 + -24 + 50x + 35x2 + 10x3 + x4 = 0

Combine like terms: 24 + -24 = 0
0 + 50x + 35x2 + 10x3 + x4 = 0
50x + 35x2 + 10x3 + x4 = 0

Solving
50x + 35x2 + 10x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(50 + 35x + 10x2 + 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 '(50 + 35x + 10x2 + x3)' equal to zero and attempt to solve:

Simplifying
50 + 35x + 10x2 + x3 = 0

Solving
50 + 35x + 10x2 + 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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