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Simplifying 4X + -2X(X + -1) = 0 Reorder the terms: 4X + -2X(-1 + X) = 0 4X + (-1 * -2X + X * -2X) = 0 4X + (2X + -2X2) = 0 Combine like terms: 4X + 2X = 6X 6X + -2X2 = 0 Solving 6X + -2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X'. 2X(3 + -1X) = 0 Ignore the factor 2.Subproblem 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 '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {0, 3}
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