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Simplifying y(100 + -1y) = 2400 (100 * y + -1y * y) = 2400 (100y + -1y2) = 2400 Solving 100y + -1y2 = 2400 Solving for variable 'y'. Reorder the terms: -2400 + 100y + -1y2 = 2400 + -2400 Combine like terms: 2400 + -2400 = 0 -2400 + 100y + -1y2 = 0 Factor a trinomial. (-60 + y)(40 + -1y) = 0Subproblem 1
Set the factor '(-60 + y)' equal to zero and attempt to solve: Simplifying -60 + y = 0 Solving -60 + y = 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 + y = 0 + 60 Combine like terms: -60 + 60 = 0 0 + y = 0 + 60 y = 0 + 60 Combine like terms: 0 + 60 = 60 y = 60 Simplifying y = 60Subproblem 2
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 = 40Solution
y = {60, 40}
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