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Simplifying 3y2 + -108y + 729 = 0 Reorder the terms: 729 + -108y + 3y2 = 0 Solving 729 + -108y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(243 + -36y + y2) = 0 Factor a trinomial. 3((9 + -1y)(27 + -1y)) = 0 Ignore the factor 3.Subproblem 1
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 = 9Subproblem 2
Set the factor '(27 + -1y)' equal to zero and attempt to solve: Simplifying 27 + -1y = 0 Solving 27 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1y = 0 + -27 -1y = 0 + -27 Combine like terms: 0 + -27 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27Solution
y = {9, 27}
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