(18-3x)(-2-x)(4x+24)=0

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Solution for (18-3x)(-2-x)(4x+24)=0 equation: 


Simplifying
(18 + -3x)(-2 + -1x)(4x + 24) = 0

Reorder the terms:
(18 + -3x)(-2 + -1x)(24 + 4x) = 0

Multiply (18 + -3x) * (-2 + -1x)
(18(-2 + -1x) + -3x * (-2 + -1x))(24 + 4x) = 0
((-2 * 18 + -1x * 18) + -3x * (-2 + -1x))(24 + 4x) = 0
((-36 + -18x) + -3x * (-2 + -1x))(24 + 4x) = 0
(-36 + -18x + (-2 * -3x + -1x * -3x))(24 + 4x) = 0
(-36 + -18x + (6x + 3x2))(24 + 4x) = 0

Combine like terms: -18x + 6x = -12x
(-36 + -12x + 3x2)(24 + 4x) = 0

Multiply (-36 + -12x + 3x2) * (24 + 4x)
(-36(24 + 4x) + -12x * (24 + 4x) + 3x2 * (24 + 4x)) = 0
((24 * -36 + 4x * -36) + -12x * (24 + 4x) + 3x2 * (24 + 4x)) = 0
((-864 + -144x) + -12x * (24 + 4x) + 3x2 * (24 + 4x)) = 0
(-864 + -144x + (24 * -12x + 4x * -12x) + 3x2 * (24 + 4x)) = 0
(-864 + -144x + (-288x + -48x2) + 3x2 * (24 + 4x)) = 0
(-864 + -144x + -288x + -48x2 + (24 * 3x2 + 4x * 3x2)) = 0
(-864 + -144x + -288x + -48x2 + (72x2 + 12x3)) = 0

Combine like terms: -144x + -288x = -432x
(-864 + -432x + -48x2 + 72x2 + 12x3) = 0

Combine like terms: -48x2 + 72x2 = 24x2
(-864 + -432x + 24x2 + 12x3) = 0

Solving
-864 + -432x + 24x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-72 + -36x + 2x2 + x3) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-72 + -36x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-72 + -36x + 2x2 + x3 = 0

Solving
-72 + -36x + 2x2 + x3 = 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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