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Simplifying (2y + 5)(y + 4) = 0 Reorder the terms: (5 + 2y)(y + 4) = 0 Reorder the terms: (5 + 2y)(4 + y) = 0 Multiply (5 + 2y) * (4 + y) (5(4 + y) + 2y * (4 + y)) = 0 ((4 * 5 + y * 5) + 2y * (4 + y)) = 0 ((20 + 5y) + 2y * (4 + y)) = 0 (20 + 5y + (4 * 2y + y * 2y)) = 0 (20 + 5y + (8y + 2y2)) = 0 Combine like terms: 5y + 8y = 13y (20 + 13y + 2y2) = 0 Solving 20 + 13y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + y)(5 + 2y) = 0Subproblem 1
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Subproblem 2
Set the factor '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 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 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Solution
y = {-4, -2.5}
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