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