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Simplifying (4y + 9)(7 + y) = 0 Reorder the terms: (9 + 4y)(7 + y) = 0 Multiply (9 + 4y) * (7 + y) (9(7 + y) + 4y * (7 + y)) = 0 ((7 * 9 + y * 9) + 4y * (7 + y)) = 0 ((63 + 9y) + 4y * (7 + y)) = 0 (63 + 9y + (7 * 4y + y * 4y)) = 0 (63 + 9y + (28y + 4y2)) = 0 Combine like terms: 9y + 28y = 37y (63 + 37y + 4y2) = 0 Solving 63 + 37y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + y)(9 + 4y) = 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 '(9 + 4y)' equal to zero and attempt to solve: Simplifying 9 + 4y = 0 Solving 9 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 0 + -9 4y = 0 + -9 Combine like terms: 0 + -9 = -9 4y = -9 Divide each side by '4'. y = -2.25 Simplifying y = -2.25Solution
y = {-7, -2.25}
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