6y^5-20y^4-16y^3=0

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Solution for 6y^5-20y^4-16y^3=0 equation:


Simplifying
6y5 + -20y4 + -16y3 = 0

Reorder the terms:
-16y3 + -20y4 + 6y5 = 0

Solving
-16y3 + -20y4 + 6y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y3'.
2y3(-8 + -10y + 3y2) = 0

Factor a trinomial.
2y3((-2 + -3y)(4 + -1y)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-2 + -3y)' equal to zero and attempt to solve: Simplifying -2 + -3y = 0 Solving -2 + -3y = 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 + -3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 0 + 2 -3y = 0 + 2 Combine like terms: 0 + 2 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667

Subproblem 3

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Solution

y = {-0.6666666667, 4}

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