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Simplifying 3(y + 2)(-1y + 9) = 0 Reorder the terms: 3(2 + y)(-1y + 9) = 0 Reorder the terms: 3(2 + y)(9 + -1y) = 0 Multiply (2 + y) * (9 + -1y) 3(2(9 + -1y) + y(9 + -1y)) = 0 3((9 * 2 + -1y * 2) + y(9 + -1y)) = 0 3((18 + -2y) + y(9 + -1y)) = 0 3(18 + -2y + (9 * y + -1y * y)) = 0 3(18 + -2y + (9y + -1y2)) = 0 Combine like terms: -2y + 9y = 7y 3(18 + 7y + -1y2) = 0 (18 * 3 + 7y * 3 + -1y2 * 3) = 0 (54 + 21y + -3y2) = 0 Solving 54 + 21y + -3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(18 + 7y + -1y2) = 0 Factor a trinomial. 3((9 + -1y)(2 + y)) = 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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {9, -2}
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