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Simplifying (3y + 9)(3y + 9) = 0 Reorder the terms: (9 + 3y)(3y + 9) = 0 Reorder the terms: (9 + 3y)(9 + 3y) = 0 Multiply (9 + 3y) * (9 + 3y) (9(9 + 3y) + 3y * (9 + 3y)) = 0 ((9 * 9 + 3y * 9) + 3y * (9 + 3y)) = 0 ((81 + 27y) + 3y * (9 + 3y)) = 0 (81 + 27y + (9 * 3y + 3y * 3y)) = 0 (81 + 27y + (27y + 9y2)) = 0 Combine like terms: 27y + 27y = 54y (81 + 54y + 9y2) = 0 Solving 81 + 54y + 9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9'. 9(9 + 6y + y2) = 0 Factor a trinomial. 9((3 + y)(3 + y)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {-3, -3}
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