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Simplifying (3y + 4)(y + 9) = 0 Reorder the terms: (4 + 3y)(y + 9) = 0 Reorder the terms: (4 + 3y)(9 + y) = 0 Multiply (4 + 3y) * (9 + y) (4(9 + y) + 3y * (9 + y)) = 0 ((9 * 4 + y * 4) + 3y * (9 + y)) = 0 ((36 + 4y) + 3y * (9 + y)) = 0 (36 + 4y + (9 * 3y + y * 3y)) = 0 (36 + 4y + (27y + 3y2)) = 0 Combine like terms: 4y + 27y = 31y (36 + 31y + 3y2) = 0 Solving 36 + 31y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + y)(4 + 3y) = 0Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 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 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Subproblem 2
Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Solution
y = {-9, -1.333333333}
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