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Simplifying 2x2 + 5x + -207 = 0 Reorder the terms: -207 + 5x + 2x2 = 0 Solving -207 + 5x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + -2x)(9 + -1x) = 0Subproblem 1
Set the factor '(-23 + -2x)' equal to zero and attempt to solve: Simplifying -23 + -2x = 0 Solving -23 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -2x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 0 + 23 -2x = 0 + 23 Combine like terms: 0 + 23 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-11.5, 9}
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