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Simplifying (7 + y)(2y + 3) = 0 Reorder the terms: (7 + y)(3 + 2y) = 0 Multiply (7 + y) * (3 + 2y) (7(3 + 2y) + y(3 + 2y)) = 0 ((3 * 7 + 2y * 7) + y(3 + 2y)) = 0 ((21 + 14y) + y(3 + 2y)) = 0 (21 + 14y + (3 * y + 2y * y)) = 0 (21 + 14y + (3y + 2y2)) = 0 Combine like terms: 14y + 3y = 17y (21 + 17y + 2y2) = 0 Solving 21 + 17y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + y)(3 + 2y) = 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 '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {-7, -1.5}
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