(2x^3)-x=0

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Solution for (2x^3)-x=0 equation:


Simplifying
(2x3) + -1x = 0

Reorder the terms:
-1x + (2x3) = 0

Solving
-1x + (2x3) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + (2x2)) = 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 '(-1 + (2x2))' equal to zero and attempt to solve: Simplifying -1 + (2x2) = 0 Solving -1 + (2x2) = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + (2x2) = 0 + 1 Combine like terms: -1 + 1 = 0 0 + (2x2) = 0 + 1 (2x2) = 0 + 1 Combine like terms: 0 + 1 = 1 (2x2) = 1 Divide each side by '2'. x2 = 0.5 Simplifying x2 = 0.5 Take the square root of each side: x = {-0.707106781, 0.707106781}

Solution

x = {0, -0.707106781, 0.707106781}

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