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Simplifying (2y + 7)(y + 6) = 0 Reorder the terms: (7 + 2y)(y + 6) = 0 Reorder the terms: (7 + 2y)(6 + y) = 0 Multiply (7 + 2y) * (6 + y) (7(6 + y) + 2y * (6 + y)) = 0 ((6 * 7 + y * 7) + 2y * (6 + y)) = 0 ((42 + 7y) + 2y * (6 + y)) = 0 (42 + 7y + (6 * 2y + y * 2y)) = 0 (42 + 7y + (12y + 2y2)) = 0 Combine like terms: 7y + 12y = 19y (42 + 19y + 2y2) = 0 Solving 42 + 19y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (6 + y)(7 + 2y) = 0Subproblem 1
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 = -6Subproblem 2
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 = -3.5Solution
y = {-6, -3.5}
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