(3y^3)-(5y^2)-2y=0

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Solution for (3y^3)-(5y^2)-2y=0 equation:


Simplifying
(3y3) + -1(5y2) + -2y = 0

Remove parenthesis around (5y2)
(3y3) + -1 * 5y2 + -2y = 0

Multiply -1 * 5
(3y3) + -5y2 + -2y = 0

Reorder the terms:
-2y + -5y2 + (3y3) = 0

Solving
-2y + -5y2 + (3y3) = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-2 + -5y + (3y2)) = 0

Factor a trinomial.
y((-1 + -3y)(2 + -1y)) = 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 '(-1 + -3y)' equal to zero and attempt to solve: Simplifying -1 + -3y = 0 Solving -1 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = 0 + 1 -3y = 0 + 1 Combine like terms: 0 + 1 = 1 -3y = 1 Divide each side by '-3'. y = -0.3333333333 Simplifying y = -0.3333333333

Subproblem 3

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {0, -0.3333333333, 2}

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