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Simplifying (2y + 1)(3y + 2) = 0 Reorder the terms: (1 + 2y)(3y + 2) = 0 Reorder the terms: (1 + 2y)(2 + 3y) = 0 Multiply (1 + 2y) * (2 + 3y) (1(2 + 3y) + 2y * (2 + 3y)) = 0 ((2 * 1 + 3y * 1) + 2y * (2 + 3y)) = 0 ((2 + 3y) + 2y * (2 + 3y)) = 0 (2 + 3y + (2 * 2y + 3y * 2y)) = 0 (2 + 3y + (4y + 6y2)) = 0 Combine like terms: 3y + 4y = 7y (2 + 7y + 6y2) = 0 Solving 2 + 7y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + 3y)(1 + 2y) = 0Subproblem 1
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Solution
y = {-0.6666666667, -0.5}
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