21y^3-33y^2-18y=0

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Solution for 21y^3-33y^2-18y=0 equation:


Simplifying
21y3 + -33y2 + -18y = 0

Reorder the terms:
-18y + -33y2 + 21y3 = 0

Solving
-18y + -33y2 + 21y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-6 + -11y + 7y2) = 0

Factor a trinomial.
3y((-3 + -7y)(2 + -1y)) = 0

Ignore the factor 3.

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 '(-3 + -7y)' equal to zero and attempt to solve: Simplifying -3 + -7y = 0 Solving -3 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7y = 0 + 3 -7y = 0 + 3 Combine like terms: 0 + 3 = 3 -7y = 3 Divide each side by '-7'. y = -0.4285714286 Simplifying y = -0.4285714286

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, -0.4285714286, 2}

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