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Simplifying 3X2 + 70X + -15000 = 0 Reorder the terms: -15000 + 70X + 3X2 = 0 Solving -15000 + 70X + 3X2 = 0 Solving for variable 'X'. Factor a trinomial. (-250 + -3X)(60 + -1X) = 0Subproblem 1
Set the factor '(-250 + -3X)' equal to zero and attempt to solve: Simplifying -250 + -3X = 0 Solving -250 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + -3X = 0 + 250 Combine like terms: -250 + 250 = 0 0 + -3X = 0 + 250 -3X = 0 + 250 Combine like terms: 0 + 250 = 250 -3X = 250 Divide each side by '-3'. X = -83.33333333 Simplifying X = -83.33333333Subproblem 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 = {-83.33333333, 60}
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