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Simplifying (X + 1)(2x + 4) = 0 Reorder the terms: (1 + X)(2x + 4) = 0 Reorder the terms: (1 + X)(4 + 2x) = 0 Multiply (1 + X) * (4 + 2x) (1(4 + 2x) + X(4 + 2x)) = 0 ((4 * 1 + 2x * 1) + X(4 + 2x)) = 0 ((4 + 2x) + X(4 + 2x)) = 0 (4 + 2x + (4 * X + 2x * X)) = 0 (4 + 2x + (4X + 2xX)) = 0 Reorder the terms: (4 + 4X + 2x + 2xX) = 0 (4 + 4X + 2x + 2xX) = 0 Solving 4 + 4X + 2x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4X + 2x + -4 + 2xX = 0 + -4 Reorder the terms: 4 + -4 + 4X + 2x + 2xX = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4X + 2x + 2xX = 0 + -4 4X + 2x + 2xX = 0 + -4 Combine like terms: 0 + -4 = -4 4X + 2x + 2xX = -4 Add '-2x' to each side of the equation. 4X + 2x + -2x + 2xX = -4 + -2x Combine like terms: 2x + -2x = 0 4X + 0 + 2xX = -4 + -2x 4X + 2xX = -4 + -2x Reorder the terms: 4 + 4X + 2x + 2xX = -4 + -2x + 4 + 2x Reorder the terms: 4 + 4X + 2x + 2xX = -4 + 4 + -2x + 2x Combine like terms: -4 + 4 = 0 4 + 4X + 2x + 2xX = 0 + -2x + 2x 4 + 4X + 2x + 2xX = -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4X + 2x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 2X + x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 2X + x + xX)' equal to zero and attempt to solve: Simplifying 2 + 2X + x + xX = 0 Solving 2 + 2X + x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2X + x + -2 + xX = 0 + -2 Reorder the terms: 2 + -2 + 2X + x + xX = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2X + x + xX = 0 + -2 2X + x + xX = 0 + -2 Combine like terms: 0 + -2 = -2 2X + x + xX = -2 Add '-1x' to each side of the equation. 2X + x + -1x + xX = -2 + -1x Combine like terms: x + -1x = 0 2X + 0 + xX = -2 + -1x 2X + xX = -2 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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