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Simplifying (5 + -1y)(5y + -9) = 0 Reorder the terms: (5 + -1y)(-9 + 5y) = 0 Multiply (5 + -1y) * (-9 + 5y) (5(-9 + 5y) + -1y * (-9 + 5y)) = 0 ((-9 * 5 + 5y * 5) + -1y * (-9 + 5y)) = 0 ((-45 + 25y) + -1y * (-9 + 5y)) = 0 (-45 + 25y + (-9 * -1y + 5y * -1y)) = 0 (-45 + 25y + (9y + -5y2)) = 0 Combine like terms: 25y + 9y = 34y (-45 + 34y + -5y2) = 0 Solving -45 + 34y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + y)(9 + -5y) = 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 '(9 + -5y)' equal to zero and attempt to solve: Simplifying 9 + -5y = 0 Solving 9 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = 0 + -9 -5y = 0 + -9 Combine like terms: 0 + -9 = -9 -5y = -9 Divide each side by '-5'. y = 1.8 Simplifying y = 1.8Solution
y = {5, 1.8}
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