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Simplifying (y + 9)(y + 6) = 0 Reorder the terms: (9 + y)(y + 6) = 0 Reorder the terms: (9 + y)(6 + y) = 0 Multiply (9 + y) * (6 + y) (9(6 + y) + y(6 + y)) = 0 ((6 * 9 + y * 9) + y(6 + y)) = 0 ((54 + 9y) + y(6 + y)) = 0 (54 + 9y + (6 * y + y * y)) = 0 (54 + 9y + (6y + y2)) = 0 Combine like terms: 9y + 6y = 15y (54 + 15y + y2) = 0 Solving 54 + 15y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + y)(6 + y) = 0Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 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 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Solution
y = {-9, -6}
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