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Simplifying 9y3 = -21y2 + -10y Reorder the terms: 9y3 = -10y + -21y2 Solving 9y3 = -10y + -21y2 Solving for variable 'y'. Reorder the terms: 10y + 21y2 + 9y3 = -10y + -21y2 + 10y + 21y2 Reorder the terms: 10y + 21y2 + 9y3 = -10y + 10y + -21y2 + 21y2 Combine like terms: -10y + 10y = 0 10y + 21y2 + 9y3 = 0 + -21y2 + 21y2 10y + 21y2 + 9y3 = -21y2 + 21y2 Combine like terms: -21y2 + 21y2 = 0 10y + 21y2 + 9y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(10 + 21y + 9y2) = 0 Factor a trinomial. y((5 + 3y)(2 + 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 '(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 = -0.6666666667Solution
y = {0, -1.666666667, -0.6666666667}
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