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Simplifying 0 = -3x2 + 650x + 140000 Reorder the terms: 0 = 140000 + 650x + -3x2 Solving 0 = 140000 + 650x + -3x2 Solving for variable 'x'. Combine like terms: 0 + -140000 = -140000 -140000 + -650x + 3x2 = 140000 + 650x + -3x2 + -140000 + -650x + 3x2 Reorder the terms: -140000 + -650x + 3x2 = 140000 + -140000 + 650x + -650x + -3x2 + 3x2 Combine like terms: 140000 + -140000 = 0 -140000 + -650x + 3x2 = 0 + 650x + -650x + -3x2 + 3x2 -140000 + -650x + 3x2 = 650x + -650x + -3x2 + 3x2 Combine like terms: 650x + -650x = 0 -140000 + -650x + 3x2 = 0 + -3x2 + 3x2 -140000 + -650x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -140000 + -650x + 3x2 = 0 Factor a trinomial. (-400 + -3x)(350 + -1x) = 0Subproblem 1
Set the factor '(-400 + -3x)' equal to zero and attempt to solve: Simplifying -400 + -3x = 0 Solving -400 + -3x = 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 + -3x = 0 + 400 Combine like terms: -400 + 400 = 0 0 + -3x = 0 + 400 -3x = 0 + 400 Combine like terms: 0 + 400 = 400 -3x = 400 Divide each side by '-3'. x = -133.3333333 Simplifying x = -133.3333333Subproblem 2
Set the factor '(350 + -1x)' equal to zero and attempt to solve: Simplifying 350 + -1x = 0 Solving 350 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-350' to each side of the equation. 350 + -350 + -1x = 0 + -350 Combine like terms: 350 + -350 = 0 0 + -1x = 0 + -350 -1x = 0 + -350 Combine like terms: 0 + -350 = -350 -1x = -350 Divide each side by '-1'. x = 350 Simplifying x = 350Solution
x = {-133.3333333, 350}
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