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Simplifying (2y + -3)(3y + 2) = 0 Reorder the terms: (-3 + 2y)(3y + 2) = 0 Reorder the terms: (-3 + 2y)(2 + 3y) = 0 Multiply (-3 + 2y) * (2 + 3y) (-3(2 + 3y) + 2y * (2 + 3y)) = 0 ((2 * -3 + 3y * -3) + 2y * (2 + 3y)) = 0 ((-6 + -9y) + 2y * (2 + 3y)) = 0 (-6 + -9y + (2 * 2y + 3y * 2y)) = 0 (-6 + -9y + (4y + 6y2)) = 0 Combine like terms: -9y + 4y = -5y (-6 + -5y + 6y2) = 0 Solving -6 + -5y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -3y)(3 + -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 '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {-0.6666666667, 1.5}
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