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Simplifying (1 + -1y)(4y + 9) = 0 Reorder the terms: (1 + -1y)(9 + 4y) = 0 Multiply (1 + -1y) * (9 + 4y) (1(9 + 4y) + -1y * (9 + 4y)) = 0 ((9 * 1 + 4y * 1) + -1y * (9 + 4y)) = 0 ((9 + 4y) + -1y * (9 + 4y)) = 0 (9 + 4y + (9 * -1y + 4y * -1y)) = 0 (9 + 4y + (-9y + -4y2)) = 0 Combine like terms: 4y + -9y = -5y (9 + -5y + -4y2) = 0 Solving 9 + -5y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(9 + 4y) = 0Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 2
Set the factor '(9 + 4y)' equal to zero and attempt to solve: Simplifying 9 + 4y = 0 Solving 9 + 4y = 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 + 4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 0 + -9 4y = 0 + -9 Combine like terms: 0 + -9 = -9 4y = -9 Divide each side by '4'. y = -2.25 Simplifying y = -2.25Solution
y = {1, -2.25}
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