3x^4=81x

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Solution for 3x^4=81x equation:


Simplifying
3x4 = 81x

Solving
3x4 = 81x

Solving for variable 'x'.

Reorder the terms:
-81x + 3x4 = 81x + -81x

Combine like terms: 81x + -81x = 0
-81x + 3x4 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-27 + 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 '(-27 + x3)' equal to zero and attempt to solve: Simplifying -27 + x3 = 0 Solving -27 + x3 = 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 + x3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x3 = 0 + 27 x3 = 0 + 27 Combine like terms: 0 + 27 = 27 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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