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Simplifying (3y + 7)(3 + -1y) = 0 Reorder the terms: (7 + 3y)(3 + -1y) = 0 Multiply (7 + 3y) * (3 + -1y) (7(3 + -1y) + 3y * (3 + -1y)) = 0 ((3 * 7 + -1y * 7) + 3y * (3 + -1y)) = 0 ((21 + -7y) + 3y * (3 + -1y)) = 0 (21 + -7y + (3 * 3y + -1y * 3y)) = 0 (21 + -7y + (9y + -3y2)) = 0 Combine like terms: -7y + 9y = 2y (21 + 2y + -3y2) = 0 Solving 21 + 2y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -1y)(7 + 3y) = 0Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Subproblem 2
Set the factor '(7 + 3y)' equal to zero and attempt to solve: Simplifying 7 + 3y = 0 Solving 7 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = 0 + -7 3y = 0 + -7 Combine like terms: 0 + -7 = -7 3y = -7 Divide each side by '3'. y = -2.333333333 Simplifying y = -2.333333333Solution
y = {3, -2.333333333}
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