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