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Simplifying (2y + -3)(5 + -1y) = 0 Reorder the terms: (-3 + 2y)(5 + -1y) = 0 Multiply (-3 + 2y) * (5 + -1y) (-3(5 + -1y) + 2y * (5 + -1y)) = 0 ((5 * -3 + -1y * -3) + 2y * (5 + -1y)) = 0 ((-15 + 3y) + 2y * (5 + -1y)) = 0 (-15 + 3y + (5 * 2y + -1y * 2y)) = 0 (-15 + 3y + (10y + -2y2)) = 0 Combine like terms: 3y + 10y = 13y (-15 + 13y + -2y2) = 0 Solving -15 + 13y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + y)(3 + -2y) = 0Subproblem 1
Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 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 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {5, 1.5}
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