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Simplifying (4y + 7)(2y + 27) = 0 Reorder the terms: (7 + 4y)(2y + 27) = 0 Reorder the terms: (7 + 4y)(27 + 2y) = 0 Multiply (7 + 4y) * (27 + 2y) (7(27 + 2y) + 4y * (27 + 2y)) = 0 ((27 * 7 + 2y * 7) + 4y * (27 + 2y)) = 0 ((189 + 14y) + 4y * (27 + 2y)) = 0 (189 + 14y + (27 * 4y + 2y * 4y)) = 0 (189 + 14y + (108y + 8y2)) = 0 Combine like terms: 14y + 108y = 122y (189 + 122y + 8y2) = 0 Solving 189 + 122y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (27 + 2y)(7 + 4y) = 0Subproblem 1
Set the factor '(27 + 2y)' equal to zero and attempt to solve: Simplifying 27 + 2y = 0 Solving 27 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2y = 0 + -27 2y = 0 + -27 Combine like terms: 0 + -27 = -27 2y = -27 Divide each side by '2'. y = -13.5 Simplifying y = -13.5Subproblem 2
Set the factor '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 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 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75Solution
y = {-13.5, -1.75}
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