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Simplifying (X2 + -2x + 1)(x2 + 3x + -4) = 0 Reorder the terms: (1 + X2 + -2x)(x2 + 3x + -4) = 0 Reorder the terms: (1 + X2 + -2x)(-4 + 3x + x2) = 0 Multiply (1 + X2 + -2x) * (-4 + 3x + x2) (1(-4 + 3x + x2) + X2(-4 + 3x + x2) + -2x * (-4 + 3x + x2)) = 0 ((-4 * 1 + 3x * 1 + x2 * 1) + X2(-4 + 3x + x2) + -2x * (-4 + 3x + x2)) = 0 ((-4 + 3x + 1x2) + X2(-4 + 3x + x2) + -2x * (-4 + 3x + x2)) = 0 (-4 + 3x + 1x2 + (-4 * X2 + 3x * X2 + x2 * X2) + -2x * (-4 + 3x + x2)) = 0 (-4 + 3x + 1x2 + (-4X2 + 3xX2 + x2X2) + -2x * (-4 + 3x + x2)) = 0 (-4 + 3x + 1x2 + -4X2 + 3xX2 + x2X2 + (-4 * -2x + 3x * -2x + x2 * -2x)) = 0 (-4 + 3x + 1x2 + -4X2 + 3xX2 + x2X2 + (8x + -6x2 + -2x3)) = 0 Reorder the terms: (-4 + -4X2 + 3x + 8x + 3xX2 + 1x2 + -6x2 + x2X2 + -2x3) = 0 Combine like terms: 3x + 8x = 11x (-4 + -4X2 + 11x + 3xX2 + 1x2 + -6x2 + x2X2 + -2x3) = 0 Combine like terms: 1x2 + -6x2 = -5x2 (-4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3) = 0 Solving -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 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 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + 4 + -2x3 = 0 + 4 Reorder the terms: -4 + 4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 0 + 4 -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 0 + 4 Combine like terms: 0 + 4 = 4 -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 4 Add '-11x' to each side of the equation. -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -11x + -2x3 = 4 + -11x Reorder the terms: -4X2 + 11x + -11x + 3xX2 + -5x2 + x2X2 + -2x3 = 4 + -11x Combine like terms: 11x + -11x = 0 -4X2 + 0 + 3xX2 + -5x2 + x2X2 + -2x3 = 4 + -11x -4X2 + 3xX2 + -5x2 + x2X2 + -2x3 = 4 + -11x Add '5x2' to each side of the equation. -4X2 + 3xX2 + -5x2 + x2X2 + 5x2 + -2x3 = 4 + -11x + 5x2 Reorder the terms: -4X2 + 3xX2 + -5x2 + 5x2 + x2X2 + -2x3 = 4 + -11x + 5x2 Combine like terms: -5x2 + 5x2 = 0 -4X2 + 3xX2 + 0 + x2X2 + -2x3 = 4 + -11x + 5x2 -4X2 + 3xX2 + x2X2 + -2x3 = 4 + -11x + 5x2 Add '2x3' to each side of the equation. -4X2 + 3xX2 + x2X2 + -2x3 + 2x3 = 4 + -11x + 5x2 + 2x3 Combine like terms: -2x3 + 2x3 = 0 -4X2 + 3xX2 + x2X2 + 0 = 4 + -11x + 5x2 + 2x3 -4X2 + 3xX2 + x2X2 = 4 + -11x + 5x2 + 2x3 Reorder the terms: -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 4 + -11x + 5x2 + 2x3 + -4 + 11x + -5x2 + -2x3 Reorder the terms: -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 4 + -4 + -11x + 11x + 5x2 + -5x2 + 2x3 + -2x3 Combine like terms: 4 + -4 = 0 -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 0 + -11x + 11x + 5x2 + -5x2 + 2x3 + -2x3 -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = -11x + 11x + 5x2 + -5x2 + 2x3 + -2x3 Combine like terms: -11x + 11x = 0 -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 0 + 5x2 + -5x2 + 2x3 + -2x3 -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 5x2 + -5x2 + 2x3 + -2x3 Combine like terms: 5x2 + -5x2 = 0 -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 0 + 2x3 + -2x3 -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -4 + -4X2 + 11x + 3xX2 + -5x2 + x2X2 + -2x3 = 0 The solution to this equation could not be determined.
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