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Simplifying (3y + 2)(3y + -1) = 0 Reorder the terms: (2 + 3y)(3y + -1) = 0 Reorder the terms: (2 + 3y)(-1 + 3y) = 0 Multiply (2 + 3y) * (-1 + 3y) (2(-1 + 3y) + 3y * (-1 + 3y)) = 0 ((-1 * 2 + 3y * 2) + 3y * (-1 + 3y)) = 0 ((-2 + 6y) + 3y * (-1 + 3y)) = 0 (-2 + 6y + (-1 * 3y + 3y * 3y)) = 0 (-2 + 6y + (-3y + 9y2)) = 0 Combine like terms: 6y + -3y = 3y (-2 + 3y + 9y2) = 0 Solving -2 + 3y + 9y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -3y)(1 + -3y) = 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 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 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 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Solution
y = {-0.6666666667, 0.3333333333}
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