0=3x^3-27x^2-3x+27

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Solution for 0=3x^3-27x^2-3x+27 equation:


Simplifying
0 = 3x3 + -27x2 + -3x + 27

Reorder the terms:
0 = 27 + -3x + -27x2 + 3x3

Solving
0 = 27 + -3x + -27x2 + 3x3

Solving for variable 'x'.

Combine like terms: 0 + -27 = -27
-27 + 3x + 27x2 + -3x3 = 27 + -3x + -27x2 + 3x3 + -27 + 3x + 27x2 + -3x3

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

Combine like terms: 27 + -27 = 0
-27 + 3x + 27x2 + -3x3 = 0 + -3x + 3x + -27x2 + 27x2 + 3x3 + -3x3
-27 + 3x + 27x2 + -3x3 = -3x + 3x + -27x2 + 27x2 + 3x3 + -3x3

Combine like terms: -3x + 3x = 0
-27 + 3x + 27x2 + -3x3 = 0 + -27x2 + 27x2 + 3x3 + -3x3
-27 + 3x + 27x2 + -3x3 = -27x2 + 27x2 + 3x3 + -3x3

Combine like terms: -27x2 + 27x2 = 0
-27 + 3x + 27x2 + -3x3 = 0 + 3x3 + -3x3
-27 + 3x + 27x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-27 + 3x + 27x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + x + 9x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-9 + x + 9x2 + -1x3)' equal to zero and attempt to solve: Simplifying -9 + x + 9x2 + -1x3 = 0 Solving -9 + x + 9x2 + -1x3 = 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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