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Simplifying X(X + 2) + 2(X + 2) * X = 0 Reorder the terms: X(2 + X) + 2(X + 2) * X = 0 (2 * X + X * X) + 2(X + 2) * X = 0 (2X + X2) + 2(X + 2) * X = 0 Reorder the terms: 2X + X2 + 2(2 + X) * X = 0 Reorder the terms for easier multiplication: 2X + X2 + 2X(2 + X) = 0 2X + X2 + (2 * 2X + X * 2X) = 0 2X + X2 + (4X + 2X2) = 0 Reorder the terms: 2X + 4X + X2 + 2X2 = 0 Combine like terms: 2X + 4X = 6X 6X + X2 + 2X2 = 0 Combine like terms: X2 + 2X2 = 3X2 6X + 3X2 = 0 Solving 6X + 3X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3X'. 3X(2 + X) = 0 Ignore the factor 3.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 '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Solution
X = {0, -2}
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