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