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Simplifying 3x2 + -5x + -3500 = 0 Reorder the terms: -3500 + -5x + 3x2 = 0 Solving -3500 + -5x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-100 + -3x)(35 + -1x) = 0Subproblem 1
Set the factor '(-100 + -3x)' equal to zero and attempt to solve: Simplifying -100 + -3x = 0 Solving -100 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -3x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -3x = 0 + 100 -3x = 0 + 100 Combine like terms: 0 + 100 = 100 -3x = 100 Divide each side by '-3'. x = -33.33333333 Simplifying x = -33.33333333Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35Solution
x = {-33.33333333, 35}
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