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Simplifying y2 + -24y + 80 = 0 Reorder the terms: 80 + -24y + y2 = 0 Solving 80 + -24y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -1y)(20 + -1y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(20 + -1y)' equal to zero and attempt to solve: Simplifying 20 + -1y = 0 Solving 20 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = 0 + -20 -1y = 0 + -20 Combine like terms: 0 + -20 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20Solution
y = {4, 20}
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