3x^4=81x^3

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Solution for 3x^4=81x^3 equation:


Simplifying
3x4 = 81x3

Solving
3x4 = 81x3

Solving for variable 'x'.

Reorder the terms:
-81x3 + 3x4 = 81x3 + -81x3

Combine like terms: 81x3 + -81x3 = 0
-81x3 + 3x4 = 0

Factor out the Greatest Common Factor (GCF), '3x3'.
3x3(-27 + x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-27 + x)' equal to zero and attempt to solve: Simplifying -27 + x = 0 Solving -27 + x = 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 + x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x = 0 + 27 x = 0 + 27 Combine like terms: 0 + 27 = 27 x = 27 Simplifying x = 27

Solution

x = {27}

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