3y^3-14y-5y=0

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Solution for 3y^3-14y-5y=0 equation:


Simplifying
3y3 + -14y + -5y = 0

Reorder the terms:
-14y + -5y + 3y3 = 0

Combine like terms: -14y + -5y = -19y
-19y + 3y3 = 0

Solving
-19y + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-19 + 3y2) = 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 '(-19 + 3y2)' equal to zero and attempt to solve: Simplifying -19 + 3y2 = 0 Solving -19 + 3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3y2 = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 3y2 = 0 + 19 3y2 = 0 + 19 Combine like terms: 0 + 19 = 19 3y2 = 19 Divide each side by '3'. y2 = 6.333333333 Simplifying y2 = 6.333333333 Take the square root of each side: y = {-2.516611478, 2.516611478}

Solution

y = {0, -2.516611478, 2.516611478}

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