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Simplifying (9 + y)(4y + 3) = 0 Reorder the terms: (9 + y)(3 + 4y) = 0 Multiply (9 + y) * (3 + 4y) (9(3 + 4y) + y(3 + 4y)) = 0 ((3 * 9 + 4y * 9) + y(3 + 4y)) = 0 ((27 + 36y) + y(3 + 4y)) = 0 (27 + 36y + (3 * y + 4y * y)) = 0 (27 + 36y + (3y + 4y2)) = 0 Combine like terms: 36y + 3y = 39y (27 + 39y + 4y2) = 0 Solving 27 + 39y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + y)(3 + 4y) = 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 '(3 + 4y)' equal to zero and attempt to solve: Simplifying 3 + 4y = 0 Solving 3 + 4y = 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 + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 0 + -3 4y = 0 + -3 Combine like terms: 0 + -3 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75Solution
y = {-9, -0.75}
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