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Simplifying (3y + -5)(y + -2) = 0 Reorder the terms: (-5 + 3y)(y + -2) = 0 Reorder the terms: (-5 + 3y)(-2 + y) = 0 Multiply (-5 + 3y) * (-2 + y) (-5(-2 + y) + 3y * (-2 + y)) = 0 ((-2 * -5 + y * -5) + 3y * (-2 + y)) = 0 ((10 + -5y) + 3y * (-2 + y)) = 0 (10 + -5y + (-2 * 3y + y * 3y)) = 0 (10 + -5y + (-6y + 3y2)) = 0 Combine like terms: -5y + -6y = -11y (10 + -11y + 3y2) = 0 Solving 10 + -11y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -3y)(2 + -1y) = 0Subproblem 1
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Subproblem 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 = {1.666666667, 2}
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