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Simplifying X(X + 2) = 1023 Reorder the terms: X(2 + X) = 1023 (2 * X + X * X) = 1023 (2X + X2) = 1023 Solving 2X + X2 = 1023 Solving for variable 'X'. Reorder the terms: -1023 + 2X + X2 = 1023 + -1023 Combine like terms: 1023 + -1023 = 0 -1023 + 2X + X2 = 0 Factor a trinomial. (-33 + -1X)(31 + -1X) = 0Subproblem 1
Set the factor '(-33 + -1X)' equal to zero and attempt to solve: Simplifying -33 + -1X = 0 Solving -33 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -1X = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -1X = 0 + 33 -1X = 0 + 33 Combine like terms: 0 + 33 = 33 -1X = 33 Divide each side by '-1'. X = -33 Simplifying X = -33Subproblem 2
Set the factor '(31 + -1X)' equal to zero and attempt to solve: Simplifying 31 + -1X = 0 Solving 31 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1X = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1X = 0 + -31 -1X = 0 + -31 Combine like terms: 0 + -31 = -31 -1X = -31 Divide each side by '-1'. X = 31 Simplifying X = 31Solution
X = {-33, 31}
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