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Simplifying (4y + 5)(9 + -1y) = 0 Reorder the terms: (5 + 4y)(9 + -1y) = 0 Multiply (5 + 4y) * (9 + -1y) (5(9 + -1y) + 4y * (9 + -1y)) = 0 ((9 * 5 + -1y * 5) + 4y * (9 + -1y)) = 0 ((45 + -5y) + 4y * (9 + -1y)) = 0 (45 + -5y + (9 * 4y + -1y * 4y)) = 0 (45 + -5y + (36y + -4y2)) = 0 Combine like terms: -5y + 36y = 31y (45 + 31y + -4y2) = 0 Solving 45 + 31y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -1y)(5 + 4y) = 0Subproblem 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 '(5 + 4y)' equal to zero and attempt to solve: Simplifying 5 + 4y = 0 Solving 5 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 0 + -5 4y = 0 + -5 Combine like terms: 0 + -5 = -5 4y = -5 Divide each side by '4'. y = -1.25 Simplifying y = -1.25Solution
y = {9, -1.25}
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