(3x^3)-16x=0

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Solution for (3x^3)-16x=0 equation:


Simplifying
(3x3) + -16x = 0

Reorder the terms:
-16x + (3x3) = 0

Solving
-16x + (3x3) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + (3x2)) = 0

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 '(-16 + (3x2))' equal to zero and attempt to solve: Simplifying -16 + (3x2) = 0 Solving -16 + (3x2) = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + (3x2) = 0 + 16 Combine like terms: -16 + 16 = 0 0 + (3x2) = 0 + 16 (3x2) = 0 + 16 Combine like terms: 0 + 16 = 16 (3x2) = 16 Divide each side by '3'. x2 = 5.333333333 Simplifying x2 = 5.333333333 Take the square root of each side: x = {-2.309401077, 2.309401077}

Solution

x = {0, -2.309401077, 2.309401077}

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