9y^5+30y^4+25y^3=0

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Solution for 9y^5+30y^4+25y^3=0 equation:


Simplifying
9y5 + 30y4 + 25y3 = 0

Reorder the terms:
25y3 + 30y4 + 9y5 = 0

Solving
25y3 + 30y4 + 9y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y3'.
y3(25 + 30y + 9y2) = 0

Factor a trinomial.
y3((5 + 3y)(5 + 3y)) = 0

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 '(5 + 3y)' equal to zero and attempt to solve: Simplifying 5 + 3y = 0 Solving 5 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 0 + -5 3y = 0 + -5 Combine like terms: 0 + -5 = -5 3y = -5 Divide each side by '3'. y = -1.666666667 Simplifying y = -1.666666667

Subproblem 3

Set the factor '(5 + 3y)' equal to zero and attempt to solve: Simplifying 5 + 3y = 0 Solving 5 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 0 + -5 3y = 0 + -5 Combine like terms: 0 + -5 = -5 3y = -5 Divide each side by '3'. y = -1.666666667 Simplifying y = -1.666666667

Solution

y = {-1.666666667, -1.666666667}

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