81x^3-6x=0

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Solution for 81x^3-6x=0 equation:


Simplifying
81x3 + -6x = 0

Reorder the terms:
-6x + 81x3 = 0

Solving
-6x + 81x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-2 + 27x2) = 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 '(-2 + 27x2)' equal to zero and attempt to solve: Simplifying -2 + 27x2 = 0 Solving -2 + 27x2 = 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 + 27x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 27x2 = 0 + 2 27x2 = 0 + 2 Combine like terms: 0 + 2 = 2 27x2 = 2 Divide each side by '27'. x2 = 0.07407407407 Simplifying x2 = 0.07407407407 Take the square root of each side: x = {-0.272165527, 0.272165527}

Solution

x = {0, -0.272165527, 0.272165527}

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