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Simplifying x2 + 2x = 2499 Reorder the terms: 2x + x2 = 2499 Solving 2x + x2 = 2499 Solving for variable 'x'. Reorder the terms: -2499 + 2x + x2 = 2499 + -2499 Combine like terms: 2499 + -2499 = 0 -2499 + 2x + x2 = 0 Factor a trinomial. (-51 + -1x)(49 + -1x) = 0Subproblem 1
Set the factor '(-51 + -1x)' equal to zero and attempt to solve: Simplifying -51 + -1x = 0 Solving -51 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -1x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = 0 + 51 -1x = 0 + 51 Combine like terms: 0 + 51 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51Subproblem 2
Set the factor '(49 + -1x)' equal to zero and attempt to solve: Simplifying 49 + -1x = 0 Solving 49 + -1x = 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 + -1x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 0 + -49 -1x = 0 + -49 Combine like terms: 0 + -49 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49Solution
x = {-51, 49}
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