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Simplifying (4y + 1)(9 + -1y) = 0 Reorder the terms: (1 + 4y)(9 + -1y) = 0 Multiply (1 + 4y) * (9 + -1y) (1(9 + -1y) + 4y * (9 + -1y)) = 0 ((9 * 1 + -1y * 1) + 4y * (9 + -1y)) = 0 ((9 + -1y) + 4y * (9 + -1y)) = 0 (9 + -1y + (9 * 4y + -1y * 4y)) = 0 (9 + -1y + (36y + -4y2)) = 0 Combine like terms: -1y + 36y = 35y (9 + 35y + -4y2) = 0 Solving 9 + 35y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -1y)(1 + 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 '(1 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25Solution
y = {9, -0.25}
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