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Simplifying (X + -2)(2x + -3) = 0 Reorder the terms: (-2 + X)(2x + -3) = 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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