3x^7-243x=0

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Solution for 3x^7-243x=0 equation:


Simplifying
3x7 + -243x = 0

Reorder the terms:
-243x + 3x7 = 0

Solving
-243x + 3x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-81 + x6) = 0

Factor a difference between two squares.
3x((9 + x3)(-9 + x3)) = 0

Ignore the factor 3.

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 + x3)' equal to zero and attempt to solve: Simplifying 9 + x3 = 0 Solving 9 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x3 = 0 + -9 x3 = 0 + -9 Combine like terms: 0 + -9 = -9 x3 = -9 Simplifying x3 = -9 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 '(-9 + x3)' equal to zero and attempt to solve: Simplifying -9 + x3 = 0 Solving -9 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x3 = 0 + 9 x3 = 0 + 9 Combine like terms: 0 + 9 = 9 x3 = 9 Simplifying x3 = 9 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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