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Simplifying (3 + -1y)(4y + -5) = 0 Reorder the terms: (3 + -1y)(-5 + 4y) = 0 Multiply (3 + -1y) * (-5 + 4y) (3(-5 + 4y) + -1y * (-5 + 4y)) = 0 ((-5 * 3 + 4y * 3) + -1y * (-5 + 4y)) = 0 ((-15 + 12y) + -1y * (-5 + 4y)) = 0 (-15 + 12y + (-5 * -1y + 4y * -1y)) = 0 (-15 + 12y + (5y + -4y2)) = 0 Combine like terms: 12y + 5y = 17y (-15 + 17y + -4y2) = 0 Solving -15 + 17y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + y)(5 + -4y) = 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 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 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 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Solution
y = {3, 1.25}
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