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