2y-y^3=0

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Solution for 2y-y^3=0 equation:


Simplifying
2y + -1y3 = 0

Solving
2y + -1y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(2 + -1y2) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(2 + -1y2)' equal to zero and attempt to solve: Simplifying 2 + -1y2 = 0 Solving 2 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y2 = 0 + -2 -1y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1y2 = -2 Divide each side by '-1'. y2 = 2 Simplifying y2 = 2 Take the square root of each side: y = {-1.414213562, 1.414213562}

Solution

y = {0, -1.414213562, 1.414213562}

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