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Simplifying (y + 2)(y + 7) = 0 Reorder the terms: (2 + y)(y + 7) = 0 Reorder the terms: (2 + y)(7 + y) = 0 Multiply (2 + y) * (7 + y) (2(7 + y) + y(7 + y)) = 0 ((7 * 2 + y * 2) + y(7 + y)) = 0 ((14 + 2y) + y(7 + y)) = 0 (14 + 2y + (7 * y + y * y)) = 0 (14 + 2y + (7y + y2)) = 0 Combine like terms: 2y + 7y = 9y (14 + 9y + y2) = 0 Solving 14 + 9y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + y)(2 + y) = 0Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 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 = {-7, -2}
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