243x^3=81x^4

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Solution for 243x^3=81x^4 equation:


Simplifying
243x3 = 81x4

Solving
243x3 = 81x4

Solving for variable 'x'.

Combine like terms: 81x4 + -81x4 = 0
243x3 + -81x4 = 0

Factor out the Greatest Common Factor (GCF), '81x3'.
81x3(3 + -1x) = 0

Ignore the factor 81.

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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {3}

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