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Simplifying (3y + 28)(8y + 25) = 0 Reorder the terms: (28 + 3y)(8y + 25) = 0 Reorder the terms: (28 + 3y)(25 + 8y) = 0 Multiply (28 + 3y) * (25 + 8y) (28(25 + 8y) + 3y * (25 + 8y)) = 0 ((25 * 28 + 8y * 28) + 3y * (25 + 8y)) = 0 ((700 + 224y) + 3y * (25 + 8y)) = 0 (700 + 224y + (25 * 3y + 8y * 3y)) = 0 (700 + 224y + (75y + 24y2)) = 0 Combine like terms: 224y + 75y = 299y (700 + 299y + 24y2) = 0 Solving 700 + 299y + 24y2 = 0 Solving for variable 'y'. Factor a trinomial. (28 + 3y)(25 + 8y) = 0Subproblem 1
Set the factor '(28 + 3y)' equal to zero and attempt to solve: Simplifying 28 + 3y = 0 Solving 28 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 3y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 3y = 0 + -28 3y = 0 + -28 Combine like terms: 0 + -28 = -28 3y = -28 Divide each side by '3'. y = -9.333333333 Simplifying y = -9.333333333Subproblem 2
Set the factor '(25 + 8y)' equal to zero and attempt to solve: Simplifying 25 + 8y = 0 Solving 25 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 8y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8y = 0 + -25 8y = 0 + -25 Combine like terms: 0 + -25 = -25 8y = -25 Divide each side by '8'. y = -3.125 Simplifying y = -3.125Solution
y = {-9.333333333, -3.125}
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