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Simplifying y2 + -100y + 2400 = 0 Reorder the terms: 2400 + -100y + y2 = 0 Solving 2400 + -100y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (40 + -1y)(60 + -1y) = 0Subproblem 1
Set the factor '(40 + -1y)' equal to zero and attempt to solve: Simplifying 40 + -1y = 0 Solving 40 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1y = 0 + -40 -1y = 0 + -40 Combine like terms: 0 + -40 = -40 -1y = -40 Divide each side by '-1'. y = 40 Simplifying y = 40Subproblem 2
Set the factor '(60 + -1y)' equal to zero and attempt to solve: Simplifying 60 + -1y = 0 Solving 60 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1y = 0 + -60 -1y = 0 + -60 Combine like terms: 0 + -60 = -60 -1y = -60 Divide each side by '-1'. y = 60 Simplifying y = 60Solution
y = {40, 60}
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