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Simplifying 9y2 + 6y + -99 = 0 Reorder the terms: -99 + 6y + 9y2 = 0 Solving -99 + 6y + 9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-33 + 2y + 3y2) = 0 Factor a trinomial. 3((-11 + -3y)(3 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + -3y)' equal to zero and attempt to solve: Simplifying -11 + -3y = 0 Solving -11 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3y = 0 + 11 -3y = 0 + 11 Combine like terms: 0 + 11 = 11 -3y = 11 Divide each side by '-3'. y = -3.666666667 Simplifying y = -3.666666667Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-3.666666667, 3}
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