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Simplifying (3 + y)(3y + -8) = 0 Reorder the terms: (3 + y)(-8 + 3y) = 0 Multiply (3 + y) * (-8 + 3y) (3(-8 + 3y) + y(-8 + 3y)) = 0 ((-8 * 3 + 3y * 3) + y(-8 + 3y)) = 0 ((-24 + 9y) + y(-8 + 3y)) = 0 (-24 + 9y + (-8 * y + 3y * y)) = 0 (-24 + 9y + (-8y + 3y2)) = 0 Combine like terms: 9y + -8y = 1y (-24 + 1y + 3y2) = 0 Solving -24 + 1y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -1y)(8 + -3y) = 0Subproblem 1
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 = -3Subproblem 2
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 = 2.666666667Solution
y = {-3, 2.666666667}
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