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Simplifying 2x2 + 3x + -860 = 0 Reorder the terms: -860 + 3x + 2x2 = 0 Solving -860 + 3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-43 + -2x)(20 + -1x) = 0Subproblem 1
Set the factor '(-43 + -2x)' equal to zero and attempt to solve: Simplifying -43 + -2x = 0 Solving -43 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -2x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -2x = 0 + 43 -2x = 0 + 43 Combine like terms: 0 + 43 = 43 -2x = 43 Divide each side by '-2'. x = -21.5 Simplifying x = -21.5Subproblem 2
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 = 20Solution
x = {-21.5, 20}
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