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Simplifying 27y2 + -132y + -15 = 0 Reorder the terms: -15 + -132y + 27y2 = 0 Solving -15 + -132y + 27y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + -44y + 9y2) = 0 Factor a trinomial. 3((-1 + -9y)(5 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -9y)' equal to zero and attempt to solve: Simplifying -1 + -9y = 0 Solving -1 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -9y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9y = 0 + 1 -9y = 0 + 1 Combine like terms: 0 + 1 = 1 -9y = 1 Divide each side by '-9'. y = -0.1111111111 Simplifying y = -0.1111111111Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-0.1111111111, 5}
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