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Simplifying (X + 2)(3 + -2x) = 0 Reorder the terms: (2 + X)(3 + -2x) = 0 Multiply (2 + X) * (3 + -2x) (2(3 + -2x) + X(3 + -2x)) = 0 ((3 * 2 + -2x * 2) + X(3 + -2x)) = 0 ((6 + -4x) + X(3 + -2x)) = 0 (6 + -4x + (3 * X + -2x * X)) = 0 (6 + -4x + (3X + -2xX)) = 0 Reorder the terms: (6 + 3X + -4x + -2xX) = 0 (6 + 3X + -4x + -2xX) = 0 Solving 6 + 3X + -4x + -2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3X + -4x + -6 + -2xX = 0 + -6 Reorder the terms: 6 + -6 + 3X + -4x + -2xX = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3X + -4x + -2xX = 0 + -6 3X + -4x + -2xX = 0 + -6 Combine like terms: 0 + -6 = -6 3X + -4x + -2xX = -6 Add '4x' to each side of the equation. 3X + -4x + 4x + -2xX = -6 + 4x Combine like terms: -4x + 4x = 0 3X + 0 + -2xX = -6 + 4x 3X + -2xX = -6 + 4x Reorder the terms: 6 + 3X + -4x + -2xX = -6 + 4x + 6 + -4x Reorder the terms: 6 + 3X + -4x + -2xX = -6 + 6 + 4x + -4x Combine like terms: -6 + 6 = 0 6 + 3X + -4x + -2xX = 0 + 4x + -4x 6 + 3X + -4x + -2xX = 4x + -4x Combine like terms: 4x + -4x = 0 6 + 3X + -4x + -2xX = 0 The solution to this equation could not be determined.
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