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Simplifying c2 + -240c + 8000 = 0 Reorder the terms: 8000 + -240c + c2 = 0 Solving 8000 + -240c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (40 + -1c)(200 + -1c) = 0Subproblem 1
Set the factor '(40 + -1c)' equal to zero and attempt to solve: Simplifying 40 + -1c = 0 Solving 40 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1c = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1c = 0 + -40 -1c = 0 + -40 Combine like terms: 0 + -40 = -40 -1c = -40 Divide each side by '-1'. c = 40 Simplifying c = 40Subproblem 2
Set the factor '(200 + -1c)' equal to zero and attempt to solve: Simplifying 200 + -1c = 0 Solving 200 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -1c = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -1c = 0 + -200 -1c = 0 + -200 Combine like terms: 0 + -200 = -200 -1c = -200 Divide each side by '-1'. c = 200 Simplifying c = 200Solution
c = {40, 200}
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