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Simplifying (5 + -1y)(3y + 2) = 0 Reorder the terms: (5 + -1y)(2 + 3y) = 0 Multiply (5 + -1y) * (2 + 3y) (5(2 + 3y) + -1y * (2 + 3y)) = 0 ((2 * 5 + 3y * 5) + -1y * (2 + 3y)) = 0 ((10 + 15y) + -1y * (2 + 3y)) = 0 (10 + 15y + (2 * -1y + 3y * -1y)) = 0 (10 + 15y + (-2y + -3y2)) = 0 Combine like terms: 15y + -2y = 13y (10 + 13y + -3y2) = 0 Solving 10 + 13y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -1y)(2 + 3y) = 0Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Subproblem 2
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 = -0.6666666667Solution
y = {5, -0.6666666667}
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