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Simplifying 0 = 440x + -16000 + -1x2 Reorder the terms: 0 = -16000 + 440x + -1x2 Solving 0 = -16000 + 440x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 16000 = 16000 16000 + -440x + x2 = -16000 + 440x + -1x2 + 16000 + -440x + x2 Reorder the terms: 16000 + -440x + x2 = -16000 + 16000 + 440x + -440x + -1x2 + x2 Combine like terms: -16000 + 16000 = 0 16000 + -440x + x2 = 0 + 440x + -440x + -1x2 + x2 16000 + -440x + x2 = 440x + -440x + -1x2 + x2 Combine like terms: 440x + -440x = 0 16000 + -440x + x2 = 0 + -1x2 + x2 16000 + -440x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 16000 + -440x + x2 = 0 Factor a trinomial. (40 + -1x)(400 + -1x) = 0Subproblem 1
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 = 40Subproblem 2
Set the factor '(400 + -1x)' equal to zero and attempt to solve: Simplifying 400 + -1x = 0 Solving 400 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -1x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -1x = 0 + -400 -1x = 0 + -400 Combine like terms: 0 + -400 = -400 -1x = -400 Divide each side by '-1'. x = 400 Simplifying x = 400Solution
x = {40, 400}
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