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Simplifying x2 + 2x + -10403 = 0 Reorder the terms: -10403 + 2x + x2 = 0 Solving -10403 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-103 + -1x)(101 + -1x) = 0Subproblem 1
Set the factor '(-103 + -1x)' equal to zero and attempt to solve: Simplifying -103 + -1x = 0 Solving -103 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '103' to each side of the equation. -103 + 103 + -1x = 0 + 103 Combine like terms: -103 + 103 = 0 0 + -1x = 0 + 103 -1x = 0 + 103 Combine like terms: 0 + 103 = 103 -1x = 103 Divide each side by '-1'. x = -103 Simplifying x = -103Subproblem 2
Set the factor '(101 + -1x)' equal to zero and attempt to solve: Simplifying 101 + -1x = 0 Solving 101 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + -101 + -1x = 0 + -101 Combine like terms: 101 + -101 = 0 0 + -1x = 0 + -101 -1x = 0 + -101 Combine like terms: 0 + -101 = -101 -1x = -101 Divide each side by '-1'. x = 101 Simplifying x = 101Solution
x = {-103, 101}
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