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Simplifying (5y + 6)(3 + y) = 0 Reorder the terms: (6 + 5y)(3 + y) = 0 Multiply (6 + 5y) * (3 + y) (6(3 + y) + 5y * (3 + y)) = 0 ((3 * 6 + y * 6) + 5y * (3 + y)) = 0 ((18 + 6y) + 5y * (3 + y)) = 0 (18 + 6y + (3 * 5y + y * 5y)) = 0 (18 + 6y + (15y + 5y2)) = 0 Combine like terms: 6y + 15y = 21y (18 + 21y + 5y2) = 0 Solving 18 + 21y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + y)(6 + 5y) = 0Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve: Simplifying 6 + 5y = 0 Solving 6 + 5y = 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 + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 0 + -6 5y = 0 + -6 Combine like terms: 0 + -6 = -6 5y = -6 Divide each side by '5'. y = -1.2 Simplifying y = -1.2Solution
y = {-3, -1.2}
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