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Simplifying (2 + -1y)(4y + -5) = 0 Reorder the terms: (2 + -1y)(-5 + 4y) = 0 Multiply (2 + -1y) * (-5 + 4y) (2(-5 + 4y) + -1y * (-5 + 4y)) = 0 ((-5 * 2 + 4y * 2) + -1y * (-5 + 4y)) = 0 ((-10 + 8y) + -1y * (-5 + 4y)) = 0 (-10 + 8y + (-5 * -1y + 4y * -1y)) = 0 (-10 + 8y + (5y + -4y2)) = 0 Combine like terms: 8y + 5y = 13y (-10 + 13y + -4y2) = 0 Solving -10 + 13y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + y)(5 + -4y) = 0Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 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 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Subproblem 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 = {2, 1.25}
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