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Simplifying 3(2y2 + -15y + 27) = 0 Reorder the terms: 3(27 + -15y + 2y2) = 0 (27 * 3 + -15y * 3 + 2y2 * 3) = 0 (81 + -45y + 6y2) = 0 Solving 81 + -45y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(27 + -15y + 2y2) = 0 Factor a trinomial. 3((3 + -1y)(9 + -2y)) = 0 Ignore the factor 3.Subproblem 1
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 = 3Subproblem 2
Set the factor '(9 + -2y)' equal to zero and attempt to solve: Simplifying 9 + -2y = 0 Solving 9 + -2y = 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 + -2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = 0 + -9 -2y = 0 + -9 Combine like terms: 0 + -9 = -9 -2y = -9 Divide each side by '-2'. y = 4.5 Simplifying y = 4.5Solution
y = {3, 4.5}
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