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