(3x+12)(x^2-11x+24)(x^3-125)=0

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Solution for (3x+12)(x^2-11x+24)(x^3-125)=0 equation: 


Simplifying
(3x + 12)(x2 + -11x + 24)(x3 + -125) = 0

Reorder the terms:
(12 + 3x)(x2 + -11x + 24)(x3 + -125) = 0

Reorder the terms:
(12 + 3x)(24 + -11x + x2)(x3 + -125) = 0

Reorder the terms:
(12 + 3x)(24 + -11x + x2)(-125 + x3) = 0

Multiply (12 + 3x) * (24 + -11x + x2)
(12(24 + -11x + x2) + 3x * (24 + -11x + x2))(-125 + x3) = 0
((24 * 12 + -11x * 12 + x2 * 12) + 3x * (24 + -11x + x2))(-125 + x3) = 0
((288 + -132x + 12x2) + 3x * (24 + -11x + x2))(-125 + x3) = 0
(288 + -132x + 12x2 + (24 * 3x + -11x * 3x + x2 * 3x))(-125 + x3) = 0
(288 + -132x + 12x2 + (72x + -33x2 + 3x3))(-125 + x3) = 0

Reorder the terms:
(288 + -132x + 72x + 12x2 + -33x2 + 3x3)(-125 + x3) = 0

Combine like terms: -132x + 72x = -60x
(288 + -60x + 12x2 + -33x2 + 3x3)(-125 + x3) = 0

Combine like terms: 12x2 + -33x2 = -21x2
(288 + -60x + -21x2 + 3x3)(-125 + x3) = 0

Multiply (288 + -60x + -21x2 + 3x3) * (-125 + x3)
(288(-125 + x3) + -60x * (-125 + x3) + -21x2 * (-125 + x3) + 3x3 * (-125 + x3)) = 0
((-125 * 288 + x3 * 288) + -60x * (-125 + x3) + -21x2 * (-125 + x3) + 3x3 * (-125 + x3)) = 0
((-36000 + 288x3) + -60x * (-125 + x3) + -21x2 * (-125 + x3) + 3x3 * (-125 + x3)) = 0
(-36000 + 288x3 + (-125 * -60x + x3 * -60x) + -21x2 * (-125 + x3) + 3x3 * (-125 + x3)) = 0
(-36000 + 288x3 + (7500x + -60x4) + -21x2 * (-125 + x3) + 3x3 * (-125 + x3)) = 0
(-36000 + 288x3 + 7500x + -60x4 + (-125 * -21x2 + x3 * -21x2) + 3x3 * (-125 + x3)) = 0
(-36000 + 288x3 + 7500x + -60x4 + (2625x2 + -21x5) + 3x3 * (-125 + x3)) = 0
(-36000 + 288x3 + 7500x + -60x4 + 2625x2 + -21x5 + (-125 * 3x3 + x3 * 3x3)) = 0
(-36000 + 288x3 + 7500x + -60x4 + 2625x2 + -21x5 + (-375x3 + 3x6)) = 0

Reorder the terms:
(-36000 + 7500x + 2625x2 + 288x3 + -375x3 + -60x4 + -21x5 + 3x6) = 0

Combine like terms: 288x3 + -375x3 = -87x3
(-36000 + 7500x + 2625x2 + -87x3 + -60x4 + -21x5 + 3x6) = 0

Solving
-36000 + 7500x + 2625x2 + -87x3 + -60x4 + -21x5 + 3x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12000 + 2500x + 875x2 + -29x3 + -20x4 + -7x5 + x6) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-12000 + 2500x + 875x2 + -29x3 + -20x4 + -7x5 + x6)' equal to zero and attempt to solve:

Simplifying
-12000 + 2500x + 875x2 + -29x3 + -20x4 + -7x5 + x6 = 0

Solving
-12000 + 2500x + 875x2 + -29x3 + -20x4 + -7x5 + x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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