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Simplifying (7y + 15)(8y + 9) = 0 Reorder the terms: (15 + 7y)(8y + 9) = 0 Reorder the terms: (15 + 7y)(9 + 8y) = 0 Multiply (15 + 7y) * (9 + 8y) (15(9 + 8y) + 7y * (9 + 8y)) = 0 ((9 * 15 + 8y * 15) + 7y * (9 + 8y)) = 0 ((135 + 120y) + 7y * (9 + 8y)) = 0 (135 + 120y + (9 * 7y + 8y * 7y)) = 0 (135 + 120y + (63y + 56y2)) = 0 Combine like terms: 120y + 63y = 183y (135 + 183y + 56y2) = 0 Solving 135 + 183y + 56y2 = 0 Solving for variable 'y'. Factor a trinomial. (15 + 7y)(9 + 8y) = 0Subproblem 1
Set the factor '(15 + 7y)' equal to zero and attempt to solve: Simplifying 15 + 7y = 0 Solving 15 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7y = 0 + -15 7y = 0 + -15 Combine like terms: 0 + -15 = -15 7y = -15 Divide each side by '7'. y = -2.142857143 Simplifying y = -2.142857143Subproblem 2
Set the factor '(9 + 8y)' equal to zero and attempt to solve: Simplifying 9 + 8y = 0 Solving 9 + 8y = 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 + 8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8y = 0 + -9 8y = 0 + -9 Combine like terms: 0 + -9 = -9 8y = -9 Divide each side by '8'. y = -1.125 Simplifying y = -1.125Solution
y = {-2.142857143, -1.125}
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