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Simplifying (1 + y)(2y + 7) = 0 Reorder the terms: (1 + y)(7 + 2y) = 0 Multiply (1 + y) * (7 + 2y) (1(7 + 2y) + y(7 + 2y)) = 0 ((7 * 1 + 2y * 1) + y(7 + 2y)) = 0 ((7 + 2y) + y(7 + 2y)) = 0 (7 + 2y + (7 * y + 2y * y)) = 0 (7 + 2y + (7y + 2y2)) = 0 Combine like terms: 2y + 7y = 9y (7 + 9y + 2y2) = 0 Solving 7 + 9y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + 2y)(1 + y) = 0Subproblem 1
Set the factor '(7 + 2y)' equal to zero and attempt to solve: Simplifying 7 + 2y = 0 Solving 7 + 2y = 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 + 2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 0 + -7 2y = 0 + -7 Combine like terms: 0 + -7 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5Subproblem 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 = {-3.5, -1}
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