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Simplifying (y + 9)(y + 1) = 0 Reorder the terms: (9 + y)(y + 1) = 0 Reorder the terms: (9 + y)(1 + y) = 0 Multiply (9 + y) * (1 + y) (9(1 + y) + y(1 + y)) = 0 ((1 * 9 + y * 9) + y(1 + y)) = 0 ((9 + 9y) + y(1 + y)) = 0 (9 + 9y + (1 * y + y * y)) = 0 (9 + 9y + (1y + y2)) = 0 Combine like terms: 9y + 1y = 10y (9 + 10y + y2) = 0 Solving 9 + 10y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + y)(1 + 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 '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-9, -1}
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