3x^4-27x^3+9x=x^3

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Solution for 3x^4-27x^3+9x=x^3 equation: 


Simplifying
3x4 + -27x3 + 9x = x3

Reorder the terms:
9x + -27x3 + 3x4 = x3

Solving
9x + -27x3 + 3x4 = x3

Solving for variable 'x'.

Reorder the terms:
9x + -27x3 + -1x3 + 3x4 = x3 + -1x3

Combine like terms: -27x3 + -1x3 = -28x3
9x + -28x3 + 3x4 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
9x + -28x3 + 3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + -28x2 + 3x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + -28x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
9 + -28x2 + 3x3 = 0

Solving
9 + -28x2 + 3x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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