81x^5-4x^3=0

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Solution for 81x^5-4x^3=0 equation:


Simplifying
81x5 + -4x3 = 0

Reorder the terms:
-4x3 + 81x5 = 0

Solving
-4x3 + 81x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-4 + 81x2) = 0

Factor a difference between two squares.
x3((2 + 9x)(-2 + 9x)) = 0

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 '(2 + 9x)' equal to zero and attempt to solve: Simplifying 2 + 9x = 0 Solving 2 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222

Subproblem 3

Set the factor '(-2 + 9x)' equal to zero and attempt to solve: Simplifying -2 + 9x = 0 Solving -2 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 0 + 2 9x = 0 + 2 Combine like terms: 0 + 2 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222

Solution

x = {-0.2222222222, 0.2222222222}

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