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Simplifying (2 + -1y)(3y + 8) = 0 Reorder the terms: (2 + -1y)(8 + 3y) = 0 Multiply (2 + -1y) * (8 + 3y) (2(8 + 3y) + -1y * (8 + 3y)) = 0 ((8 * 2 + 3y * 2) + -1y * (8 + 3y)) = 0 ((16 + 6y) + -1y * (8 + 3y)) = 0 (16 + 6y + (8 * -1y + 3y * -1y)) = 0 (16 + 6y + (-8y + -3y2)) = 0 Combine like terms: 6y + -8y = -2y (16 + -2y + -3y2) = 0 Solving 16 + -2y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -1y)(8 + 3y) = 0Subproblem 1
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 = 2Subproblem 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 = {2, -2.666666667}
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