(x^2-x-6)*(3x^3-3x^2-24x+36)=

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Solution for (x^2-x-6)*(3x^3-3x^2-24x+36)= equation: 


Simplifying
(x2 + -1x + -6)(3x3 + -3x2 + -24x + 36) = 0

Reorder the terms:
(-6 + -1x + x2)(3x3 + -3x2 + -24x + 36) = 0

Reorder the terms:
(-6 + -1x + x2)(36 + -24x + -3x2 + 3x3) = 0

Multiply (-6 + -1x + x2) * (36 + -24x + -3x2 + 3x3)
(-6(36 + -24x + -3x2 + 3x3) + -1x * (36 + -24x + -3x2 + 3x3) + x2(36 + -24x + -3x2 + 3x3)) = 0
((36 * -6 + -24x * -6 + -3x2 * -6 + 3x3 * -6) + -1x * (36 + -24x + -3x2 + 3x3) + x2(36 + -24x + -3x2 + 3x3)) = 0
((-216 + 144x + 18x2 + -18x3) + -1x * (36 + -24x + -3x2 + 3x3) + x2(36 + -24x + -3x2 + 3x3)) = 0
(-216 + 144x + 18x2 + -18x3 + (36 * -1x + -24x * -1x + -3x2 * -1x + 3x3 * -1x) + x2(36 + -24x + -3x2 + 3x3)) = 0
(-216 + 144x + 18x2 + -18x3 + (-36x + 24x2 + 3x3 + -3x4) + x2(36 + -24x + -3x2 + 3x3)) = 0
(-216 + 144x + 18x2 + -18x3 + -36x + 24x2 + 3x3 + -3x4 + (36 * x2 + -24x * x2 + -3x2 * x2 + 3x3 * x2)) = 0
(-216 + 144x + 18x2 + -18x3 + -36x + 24x2 + 3x3 + -3x4 + (36x2 + -24x3 + -3x4 + 3x5)) = 0

Reorder the terms:
(-216 + 144x + -36x + 18x2 + 24x2 + 36x2 + -18x3 + 3x3 + -24x3 + -3x4 + -3x4 + 3x5) = 0

Combine like terms: 144x + -36x = 108x
(-216 + 108x + 18x2 + 24x2 + 36x2 + -18x3 + 3x3 + -24x3 + -3x4 + -3x4 + 3x5) = 0

Combine like terms: 18x2 + 24x2 = 42x2
(-216 + 108x + 42x2 + 36x2 + -18x3 + 3x3 + -24x3 + -3x4 + -3x4 + 3x5) = 0

Combine like terms: 42x2 + 36x2 = 78x2
(-216 + 108x + 78x2 + -18x3 + 3x3 + -24x3 + -3x4 + -3x4 + 3x5) = 0

Combine like terms: -18x3 + 3x3 = -15x3
(-216 + 108x + 78x2 + -15x3 + -24x3 + -3x4 + -3x4 + 3x5) = 0

Combine like terms: -15x3 + -24x3 = -39x3
(-216 + 108x + 78x2 + -39x3 + -3x4 + -3x4 + 3x5) = 0

Combine like terms: -3x4 + -3x4 = -6x4
(-216 + 108x + 78x2 + -39x3 + -6x4 + 3x5) = 0

Solving
-216 + 108x + 78x2 + -39x3 + -6x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-72 + 36x + 26x2 + -13x3 + -2x4 + x5) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-72 + 36x + 26x2 + -13x3 + -2x4 + x5)' equal to zero and attempt to solve:

Simplifying
-72 + 36x + 26x2 + -13x3 + -2x4 + x5 = 0

Solving
-72 + 36x + 26x2 + -13x3 + -2x4 + x5 = 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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