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Simplifying (y + -2)(3y + 2) = 0 Reorder the terms: (-2 + y)(3y + 2) = 0 Reorder the terms: (-2 + y)(2 + 3y) = 0 Multiply (-2 + y) * (2 + 3y) (-2(2 + 3y) + y(2 + 3y)) = 0 ((2 * -2 + 3y * -2) + y(2 + 3y)) = 0 ((-4 + -6y) + y(2 + 3y)) = 0 (-4 + -6y + (2 * y + 3y * y)) = 0 (-4 + -6y + (2y + 3y2)) = 0 Combine like terms: -6y + 2y = -4y (-4 + -4y + 3y2) = 0 Solving -4 + -4y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -3y)(2 + -1y) = 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 '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {-0.6666666667, 2}
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