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Simplifying (9 + -1y)(4y + 6) = 0 Reorder the terms: (9 + -1y)(6 + 4y) = 0 Multiply (9 + -1y) * (6 + 4y) (9(6 + 4y) + -1y * (6 + 4y)) = 0 ((6 * 9 + 4y * 9) + -1y * (6 + 4y)) = 0 ((54 + 36y) + -1y * (6 + 4y)) = 0 (54 + 36y + (6 * -1y + 4y * -1y)) = 0 (54 + 36y + (-6y + -4y2)) = 0 Combine like terms: 36y + -6y = 30y (54 + 30y + -4y2) = 0 Solving 54 + 30y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(27 + 15y + -2y2) = 0 Factor a trinomial. 2((9 + -1y)(3 + 2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 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 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Subproblem 2
Set the factor '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {9, -1.5}
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