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Simplifying x2 + 2x + -582168 = 0 Reorder the terms: -582168 + 2x + x2 = 0 Solving -582168 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-764 + -1x)(762 + -1x) = 0Subproblem 1
Set the factor '(-764 + -1x)' equal to zero and attempt to solve: Simplifying -764 + -1x = 0 Solving -764 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '764' to each side of the equation. -764 + 764 + -1x = 0 + 764 Combine like terms: -764 + 764 = 0 0 + -1x = 0 + 764 -1x = 0 + 764 Combine like terms: 0 + 764 = 764 -1x = 764 Divide each side by '-1'. x = -764 Simplifying x = -764Subproblem 2
Set the factor '(762 + -1x)' equal to zero and attempt to solve: Simplifying 762 + -1x = 0 Solving 762 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-762' to each side of the equation. 762 + -762 + -1x = 0 + -762 Combine like terms: 762 + -762 = 0 0 + -1x = 0 + -762 -1x = 0 + -762 Combine like terms: 0 + -762 = -762 -1x = -762 Divide each side by '-1'. x = 762 Simplifying x = 762Solution
x = {-764, 762}
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