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Simplifying (7y + 6)(5y + 8) = 0 Reorder the terms: (6 + 7y)(5y + 8) = 0 Reorder the terms: (6 + 7y)(8 + 5y) = 0 Multiply (6 + 7y) * (8 + 5y) (6(8 + 5y) + 7y * (8 + 5y)) = 0 ((8 * 6 + 5y * 6) + 7y * (8 + 5y)) = 0 ((48 + 30y) + 7y * (8 + 5y)) = 0 (48 + 30y + (8 * 7y + 5y * 7y)) = 0 (48 + 30y + (56y + 35y2)) = 0 Combine like terms: 30y + 56y = 86y (48 + 86y + 35y2) = 0 Solving 48 + 86y + 35y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + 5y)(6 + 7y) = 0Subproblem 1
Set the factor '(8 + 5y)' equal to zero and attempt to solve: Simplifying 8 + 5y = 0 Solving 8 + 5y = 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 + 5y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = 0 + -8 5y = 0 + -8 Combine like terms: 0 + -8 = -8 5y = -8 Divide each side by '5'. y = -1.6 Simplifying y = -1.6Subproblem 2
Set the factor '(6 + 7y)' equal to zero and attempt to solve: Simplifying 6 + 7y = 0 Solving 6 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7y = 0 + -6 7y = 0 + -6 Combine like terms: 0 + -6 = -6 7y = -6 Divide each side by '7'. y = -0.8571428571 Simplifying y = -0.8571428571Solution
y = {-1.6, -0.8571428571}
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