x^7-35x^4+216x=0

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Solution for x^7-35x^4+216x=0 equation: 


Simplifying
x7 + -35x4 + 216x = 0

Reorder the terms:
216x + -35x4 + x7 = 0

Solving
216x + -35x4 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(216 + -35x3 + x6) = 0

Factor a trinomial.
x((8 + -1x3)(27 + -1x3)) = 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 '(8 + -1x3)' equal to zero and attempt to solve:

Simplifying
8 + -1x3 = 0

Solving
8 + -1x3 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x3 = 0 + -8
-1x3 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x3 = -8

Divide each side by '-1'.
x3 = 8

Simplifying
x3 = 8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(27 + -1x3)' equal to zero and attempt to solve:

Simplifying
27 + -1x3 = 0

Solving
27 + -1x3 = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x3 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x3 = 0 + -27
-1x3 = 0 + -27

Combine like terms: 0 + -27 = -27
-1x3 = -27

Divide each side by '-1'.
x3 = 27

Simplifying
x3 = 27

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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