3x-9=x^3-6x^2-9x+3x^3-18x-27

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Solution for 3x-9=x^3-6x^2-9x+3x^3-18x-27 equation: 


Simplifying
3x + -9 = x3 + -6x2 + -9x + 3x3 + -18x + -27

Reorder the terms:
-9 + 3x = x3 + -6x2 + -9x + 3x3 + -18x + -27

Reorder the terms:
-9 + 3x = -27 + -9x + -18x + -6x2 + x3 + 3x3

Combine like terms: -9x + -18x = -27x
-9 + 3x = -27 + -27x + -6x2 + x3 + 3x3

Combine like terms: x3 + 3x3 = 4x3
-9 + 3x = -27 + -27x + -6x2 + 4x3

Solving
-9 + 3x = -27 + -27x + -6x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-9 + 27 + 3x + 27x + 6x2 + -4x3 = -27 + -27x + -6x2 + 4x3 + 27 + 27x + 6x2 + -4x3

Combine like terms: -9 + 27 = 18
18 + 3x + 27x + 6x2 + -4x3 = -27 + -27x + -6x2 + 4x3 + 27 + 27x + 6x2 + -4x3

Combine like terms: 3x + 27x = 30x
18 + 30x + 6x2 + -4x3 = -27 + -27x + -6x2 + 4x3 + 27 + 27x + 6x2 + -4x3

Reorder the terms:
18 + 30x + 6x2 + -4x3 = -27 + 27 + -27x + 27x + -6x2 + 6x2 + 4x3 + -4x3

Combine like terms: -27 + 27 = 0
18 + 30x + 6x2 + -4x3 = 0 + -27x + 27x + -6x2 + 6x2 + 4x3 + -4x3
18 + 30x + 6x2 + -4x3 = -27x + 27x + -6x2 + 6x2 + 4x3 + -4x3

Combine like terms: -27x + 27x = 0
18 + 30x + 6x2 + -4x3 = 0 + -6x2 + 6x2 + 4x3 + -4x3
18 + 30x + 6x2 + -4x3 = -6x2 + 6x2 + 4x3 + -4x3

Combine like terms: -6x2 + 6x2 = 0
18 + 30x + 6x2 + -4x3 = 0 + 4x3 + -4x3
18 + 30x + 6x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
18 + 30x + 6x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 15x + 3x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + 15x + 3x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
9 + 15x + 3x2 + -2x3 = 0

Solving
9 + 15x + 3x2 + -2x3 = 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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