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Simplifying (3y + -8)(y + -3) = 0 Reorder the terms: (-8 + 3y)(y + -3) = 0 Reorder the terms: (-8 + 3y)(-3 + y) = 0 Multiply (-8 + 3y) * (-3 + y) (-8(-3 + y) + 3y * (-3 + y)) = 0 ((-3 * -8 + y * -8) + 3y * (-3 + y)) = 0 ((24 + -8y) + 3y * (-3 + y)) = 0 (24 + -8y + (-3 * 3y + y * 3y)) = 0 (24 + -8y + (-9y + 3y2)) = 0 Combine like terms: -8y + -9y = -17y (24 + -17y + 3y2) = 0 Solving 24 + -17y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + -3y)(3 + -1y) = 0Subproblem 1
Set the factor '(8 + -3y)' equal to zero and attempt to solve: Simplifying 8 + -3y = 0 Solving 8 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 0 + -8 -3y = 0 + -8 Combine like terms: 0 + -8 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {2.666666667, 3}
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