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Simplifying 0 = 3x2 + -380x + 12000 Reorder the terms: 0 = 12000 + -380x + 3x2 Solving 0 = 12000 + -380x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -12000 = -12000 -12000 + 380x + -3x2 = 12000 + -380x + 3x2 + -12000 + 380x + -3x2 Reorder the terms: -12000 + 380x + -3x2 = 12000 + -12000 + -380x + 380x + 3x2 + -3x2 Combine like terms: 12000 + -12000 = 0 -12000 + 380x + -3x2 = 0 + -380x + 380x + 3x2 + -3x2 -12000 + 380x + -3x2 = -380x + 380x + 3x2 + -3x2 Combine like terms: -380x + 380x = 0 -12000 + 380x + -3x2 = 0 + 3x2 + -3x2 -12000 + 380x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12000 + 380x + -3x2 = 0 Factor a trinomial. (-200 + 3x)(60 + -1x) = 0Subproblem 1
Set the factor '(-200 + 3x)' equal to zero and attempt to solve: Simplifying -200 + 3x = 0 Solving -200 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + 3x = 0 + 200 Combine like terms: -200 + 200 = 0 0 + 3x = 0 + 200 3x = 0 + 200 Combine like terms: 0 + 200 = 200 3x = 200 Divide each side by '3'. x = 66.66666667 Simplifying x = 66.66666667Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 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 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {66.66666667, 60}
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