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Simplifying (4y + 3)(2y + 5) = 0 Reorder the terms: (3 + 4y)(2y + 5) = 0 Reorder the terms: (3 + 4y)(5 + 2y) = 0 Multiply (3 + 4y) * (5 + 2y) (3(5 + 2y) + 4y * (5 + 2y)) = 0 ((5 * 3 + 2y * 3) + 4y * (5 + 2y)) = 0 ((15 + 6y) + 4y * (5 + 2y)) = 0 (15 + 6y + (5 * 4y + 2y * 4y)) = 0 (15 + 6y + (20y + 8y2)) = 0 Combine like terms: 6y + 20y = 26y (15 + 26y + 8y2) = 0 Solving 15 + 26y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + 2y)(3 + 4y) = 0Subproblem 1
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 = -2.5Subproblem 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 = {-2.5, -0.75}
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