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Simplifying 2x2 + 9x + -980 = 0 Reorder the terms: -980 + 9x + 2x2 = 0 Solving -980 + 9x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-49 + -2x)(20 + -1x) = 0Subproblem 1
Set the factor '(-49 + -2x)' equal to zero and attempt to solve: Simplifying -49 + -2x = 0 Solving -49 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -2x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -2x = 0 + 49 -2x = 0 + 49 Combine like terms: 0 + 49 = 49 -2x = 49 Divide each side by '-2'. x = -24.5 Simplifying x = -24.5Subproblem 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 = {-24.5, 20}
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