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Simplifying 0 = 620x + -12000 + -1x2 Reorder the terms: 0 = -12000 + 620x + -1x2 Solving 0 = -12000 + 620x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 12000 = 12000 12000 + -620x + x2 = -12000 + 620x + -1x2 + 12000 + -620x + x2 Reorder the terms: 12000 + -620x + x2 = -12000 + 12000 + 620x + -620x + -1x2 + x2 Combine like terms: -12000 + 12000 = 0 12000 + -620x + x2 = 0 + 620x + -620x + -1x2 + x2 12000 + -620x + x2 = 620x + -620x + -1x2 + x2 Combine like terms: 620x + -620x = 0 12000 + -620x + x2 = 0 + -1x2 + x2 12000 + -620x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 12000 + -620x + x2 = 0 Factor a trinomial. (20 + -1x)(600 + -1x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(600 + -1x)' equal to zero and attempt to solve: Simplifying 600 + -1x = 0 Solving 600 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -1x = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -1x = 0 + -600 -1x = 0 + -600 Combine like terms: 0 + -600 = -600 -1x = -600 Divide each side by '-1'. x = 600 Simplifying x = 600Solution
x = {20, 600}
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