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Simplifying 9y3 + 25y = 30y2 Reorder the terms: 25y + 9y3 = 30y2 Solving 25y + 9y3 = 30y2 Solving for variable 'y'. Reorder the terms: 25y + -30y2 + 9y3 = 30y2 + -30y2 Combine like terms: 30y2 + -30y2 = 0 25y + -30y2 + 9y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(25 + -30y + 9y2) = 0 Factor a trinomial. y((5 + -3y)(5 + -3y)) = 0Subproblem 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 = 0Subproblem 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 = 1.666666667Subproblem 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 = 1.666666667Solution
y = {0, 1.666666667, 1.666666667}
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