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Simplifying (y + 1)(y + 8) = 0 Reorder the terms: (1 + y)(y + 8) = 0 Reorder the terms: (1 + y)(8 + y) = 0 Multiply (1 + y) * (8 + y) (1(8 + y) + y(8 + y)) = 0 ((8 * 1 + y * 1) + y(8 + y)) = 0 ((8 + 1y) + y(8 + y)) = 0 (8 + 1y + (8 * y + y * y)) = 0 (8 + 1y + (8y + y2)) = 0 Combine like terms: 1y + 8y = 9y (8 + 9y + y2) = 0 Solving 8 + 9y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + y)(1 + y) = 0Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8Subproblem 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 = {-8, -1}
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