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Simplifying 2x2 + 9x + -455 = 0 Reorder the terms: -455 + 9x + 2x2 = 0 Solving -455 + 9x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-35 + -2x)(13 + -1x) = 0Subproblem 1
Set the factor '(-35 + -2x)' equal to zero and attempt to solve: Simplifying -35 + -2x = 0 Solving -35 + -2x = 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 + -2x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = 0 + 35 -2x = 0 + 35 Combine like terms: 0 + 35 = 35 -2x = 35 Divide each side by '-2'. x = -17.5 Simplifying x = -17.5Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-17.5, 13}
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