(x+1)*(x+4)*(x^2+5*x+6)+-24=0

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Solution for (x+1)*(x+4)*(x^2+5*x+6)+-24=0 equation: 


Simplifying
(x + 1)(x + 4)(x2 + 5x + 6) + -24 = 0

Reorder the terms:
(1 + x)(x + 4)(x2 + 5x + 6) + -24 = 0

Reorder the terms:
(1 + x)(4 + x)(x2 + 5x + 6) + -24 = 0

Reorder the terms:
(1 + x)(4 + x)(6 + 5x + x2) + -24 = 0

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

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

Multiply (4 + 5x + x2) * (6 + 5x + x2)
(4(6 + 5x + x2) + 5x * (6 + 5x + x2) + x2(6 + 5x + x2)) + -24 = 0
((6 * 4 + 5x * 4 + x2 * 4) + 5x * (6 + 5x + x2) + x2(6 + 5x + x2)) + -24 = 0
((24 + 20x + 4x2) + 5x * (6 + 5x + x2) + x2(6 + 5x + x2)) + -24 = 0
(24 + 20x + 4x2 + (6 * 5x + 5x * 5x + x2 * 5x) + x2(6 + 5x + x2)) + -24 = 0
(24 + 20x + 4x2 + (30x + 25x2 + 5x3) + x2(6 + 5x + x2)) + -24 = 0
(24 + 20x + 4x2 + 30x + 25x2 + 5x3 + (6 * x2 + 5x * x2 + x2 * x2)) + -24 = 0
(24 + 20x + 4x2 + 30x + 25x2 + 5x3 + (6x2 + 5x3 + x4)) + -24 = 0

Reorder the terms:
(24 + 20x + 30x + 4x2 + 25x2 + 6x2 + 5x3 + 5x3 + x4) + -24 = 0

Combine like terms: 20x + 30x = 50x
(24 + 50x + 4x2 + 25x2 + 6x2 + 5x3 + 5x3 + x4) + -24 = 0

Combine like terms: 4x2 + 25x2 = 29x2
(24 + 50x + 29x2 + 6x2 + 5x3 + 5x3 + x4) + -24 = 0

Combine like terms: 29x2 + 6x2 = 35x2
(24 + 50x + 35x2 + 5x3 + 5x3 + x4) + -24 = 0

Combine like terms: 5x3 + 5x3 = 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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