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Simplifying (3y + 4)(5 + -1y) = 0 Reorder the terms: (4 + 3y)(5 + -1y) = 0 Multiply (4 + 3y) * (5 + -1y) (4(5 + -1y) + 3y * (5 + -1y)) = 0 ((5 * 4 + -1y * 4) + 3y * (5 + -1y)) = 0 ((20 + -4y) + 3y * (5 + -1y)) = 0 (20 + -4y + (5 * 3y + -1y * 3y)) = 0 (20 + -4y + (15y + -3y2)) = 0 Combine like terms: -4y + 15y = 11y (20 + 11y + -3y2) = 0 Solving 20 + 11y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -1y)(4 + 3y) = 0Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Subproblem 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 = {5, -1.333333333}
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