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Simplifying (y + 4)(2y + 3) = 0 Reorder the terms: (4 + y)(2y + 3) = 0 Reorder the terms: (4 + y)(3 + 2y) = 0 Multiply (4 + y) * (3 + 2y) (4(3 + 2y) + y(3 + 2y)) = 0 ((3 * 4 + 2y * 4) + y(3 + 2y)) = 0 ((12 + 8y) + y(3 + 2y)) = 0 (12 + 8y + (3 * y + 2y * y)) = 0 (12 + 8y + (3y + 2y2)) = 0 Combine like terms: 8y + 3y = 11y (12 + 11y + 2y2) = 0 Solving 12 + 11y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + y)(3 + 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 '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {-4, -1.5}
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