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Simplifying (X + -2)(2x2 + -3x + -2) = 0 Reorder the terms: (-2 + X)(2x2 + -3x + -2) = 0 Reorder the terms: (-2 + X)(-2 + -3x + 2x2) = 0 Multiply (-2 + X) * (-2 + -3x + 2x2) (-2(-2 + -3x + 2x2) + X(-2 + -3x + 2x2)) = 0 ((-2 * -2 + -3x * -2 + 2x2 * -2) + X(-2 + -3x + 2x2)) = 0 ((4 + 6x + -4x2) + X(-2 + -3x + 2x2)) = 0 (4 + 6x + -4x2 + (-2 * X + -3x * X + 2x2 * X)) = 0 (4 + 6x + -4x2 + (-2X + -3xX + 2x2X)) = 0 Reorder the terms: (4 + -2X + 6x + -3xX + -4x2 + 2x2X) = 0 (4 + -2X + 6x + -3xX + -4x2 + 2x2X) = 0 Solving 4 + -2X + 6x + -3xX + -4x2 + 2x2X = 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 + -2X + 6x + -3xX + -4x2 + -4 + 2x2X = 0 + -4 Reorder the terms: 4 + -4 + -2X + 6x + -3xX + -4x2 + 2x2X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2X + 6x + -3xX + -4x2 + 2x2X = 0 + -4 -2X + 6x + -3xX + -4x2 + 2x2X = 0 + -4 Combine like terms: 0 + -4 = -4 -2X + 6x + -3xX + -4x2 + 2x2X = -4 Add '-6x' to each side of the equation. -2X + 6x + -3xX + -4x2 + -6x + 2x2X = -4 + -6x Reorder the terms: -2X + 6x + -6x + -3xX + -4x2 + 2x2X = -4 + -6x Combine like terms: 6x + -6x = 0 -2X + 0 + -3xX + -4x2 + 2x2X = -4 + -6x -2X + -3xX + -4x2 + 2x2X = -4 + -6x Add '4x2' to each side of the equation. -2X + -3xX + -4x2 + 4x2 + 2x2X = -4 + -6x + 4x2 Combine like terms: -4x2 + 4x2 = 0 -2X + -3xX + 0 + 2x2X = -4 + -6x + 4x2 -2X + -3xX + 2x2X = -4 + -6x + 4x2 Reorder the terms: 4 + -2X + 6x + -3xX + -4x2 + 2x2X = -4 + -6x + 4x2 + 4 + 6x + -4x2 Reorder the terms: 4 + -2X + 6x + -3xX + -4x2 + 2x2X = -4 + 4 + -6x + 6x + 4x2 + -4x2 Combine like terms: -4 + 4 = 0 4 + -2X + 6x + -3xX + -4x2 + 2x2X = 0 + -6x + 6x + 4x2 + -4x2 4 + -2X + 6x + -3xX + -4x2 + 2x2X = -6x + 6x + 4x2 + -4x2 Combine like terms: -6x + 6x = 0 4 + -2X + 6x + -3xX + -4x2 + 2x2X = 0 + 4x2 + -4x2 4 + -2X + 6x + -3xX + -4x2 + 2x2X = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 4 + -2X + 6x + -3xX + -4x2 + 2x2X = 0 The solution to this equation could not be determined.
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