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Simplifying 4y3 + -27y2 + -81y = 0 Reorder the terms: -81y + -27y2 + 4y3 = 0 Solving -81y + -27y2 + 4y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-81 + -27y + 4y2) = 0 Factor a trinomial. y((-9 + -4y)(9 + -1y)) = 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 '(-9 + -4y)' equal to zero and attempt to solve: Simplifying -9 + -4y = 0 Solving -9 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4y = 0 + 9 -4y = 0 + 9 Combine like terms: 0 + 9 = 9 -4y = 9 Divide each side by '-4'. y = -2.25 Simplifying y = -2.25Subproblem 3
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {0, -2.25, 9}
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