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Simplifying (4y + 7)(8 + y) = 0 Reorder the terms: (7 + 4y)(8 + y) = 0 Multiply (7 + 4y) * (8 + y) (7(8 + y) + 4y * (8 + y)) = 0 ((8 * 7 + y * 7) + 4y * (8 + y)) = 0 ((56 + 7y) + 4y * (8 + y)) = 0 (56 + 7y + (8 * 4y + y * 4y)) = 0 (56 + 7y + (32y + 4y2)) = 0 Combine like terms: 7y + 32y = 39y (56 + 39y + 4y2) = 0 Solving 56 + 39y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + y)(7 + 4y) = 0Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8Subproblem 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 = {-8, -1.75}
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