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Simplifying x(100 + -1x) = 2400 (100 * x + -1x * x) = 2400 (100x + -1x2) = 2400 Solving 100x + -1x2 = 2400 Solving for variable 'x'. Reorder the terms: -2400 + 100x + -1x2 = 2400 + -2400 Combine like terms: 2400 + -2400 = 0 -2400 + 100x + -1x2 = 0 Factor a trinomial. (-60 + x)(40 + -1x) = 0Subproblem 1
Set the factor '(-60 + x)' equal to zero and attempt to solve: Simplifying -60 + x = 0 Solving -60 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + x = 0 + 60 x = 0 + 60 Combine like terms: 0 + 60 = 60 x = 60 Simplifying x = 60Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {60, 40}
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