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Simplifying (2y + -5)(3 + -1y) = 0 Reorder the terms: (-5 + 2y)(3 + -1y) = 0 Multiply (-5 + 2y) * (3 + -1y) (-5(3 + -1y) + 2y * (3 + -1y)) = 0 ((3 * -5 + -1y * -5) + 2y * (3 + -1y)) = 0 ((-15 + 5y) + 2y * (3 + -1y)) = 0 (-15 + 5y + (3 * 2y + -1y * 2y)) = 0 (-15 + 5y + (6y + -2y2)) = 0 Combine like terms: 5y + 6y = 11y (-15 + 11y + -2y2) = 0 Solving -15 + 11y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + y)(5 + -2y) = 0Subproblem 1
Set the factor '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 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 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {3, 2.5}
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