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Simplifying (X2 + -2x + -3)(3x2 + 4x + -1) = 0 Reorder the terms: (-3 + X2 + -2x)(3x2 + 4x + -1) = 0 Reorder the terms: (-3 + X2 + -2x)(-1 + 4x + 3x2) = 0 Multiply (-3 + X2 + -2x) * (-1 + 4x + 3x2) (-3(-1 + 4x + 3x2) + X2(-1 + 4x + 3x2) + -2x * (-1 + 4x + 3x2)) = 0 ((-1 * -3 + 4x * -3 + 3x2 * -3) + X2(-1 + 4x + 3x2) + -2x * (-1 + 4x + 3x2)) = 0 ((3 + -12x + -9x2) + X2(-1 + 4x + 3x2) + -2x * (-1 + 4x + 3x2)) = 0 (3 + -12x + -9x2 + (-1 * X2 + 4x * X2 + 3x2 * X2) + -2x * (-1 + 4x + 3x2)) = 0 (3 + -12x + -9x2 + (-1X2 + 4xX2 + 3x2X2) + -2x * (-1 + 4x + 3x2)) = 0 (3 + -12x + -9x2 + -1X2 + 4xX2 + 3x2X2 + (-1 * -2x + 4x * -2x + 3x2 * -2x)) = 0 (3 + -12x + -9x2 + -1X2 + 4xX2 + 3x2X2 + (2x + -8x2 + -6x3)) = 0 Reorder the terms: (3 + -1X2 + -12x + 2x + 4xX2 + -9x2 + -8x2 + 3x2X2 + -6x3) = 0 Combine like terms: -12x + 2x = -10x (3 + -1X2 + -10x + 4xX2 + -9x2 + -8x2 + 3x2X2 + -6x3) = 0 Combine like terms: -9x2 + -8x2 = -17x2 (3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3) = 0 Solving 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -3 + -6x3 = 0 + -3 Reorder the terms: 3 + -3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 0 + -3 -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = -3 Add '10x' to each side of the equation. -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + 10x + -6x3 = -3 + 10x Reorder the terms: -1X2 + -10x + 10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = -3 + 10x Combine like terms: -10x + 10x = 0 -1X2 + 0 + 4xX2 + -17x2 + 3x2X2 + -6x3 = -3 + 10x -1X2 + 4xX2 + -17x2 + 3x2X2 + -6x3 = -3 + 10x Add '17x2' to each side of the equation. -1X2 + 4xX2 + -17x2 + 3x2X2 + 17x2 + -6x3 = -3 + 10x + 17x2 Reorder the terms: -1X2 + 4xX2 + -17x2 + 17x2 + 3x2X2 + -6x3 = -3 + 10x + 17x2 Combine like terms: -17x2 + 17x2 = 0 -1X2 + 4xX2 + 0 + 3x2X2 + -6x3 = -3 + 10x + 17x2 -1X2 + 4xX2 + 3x2X2 + -6x3 = -3 + 10x + 17x2 Add '6x3' to each side of the equation. -1X2 + 4xX2 + 3x2X2 + -6x3 + 6x3 = -3 + 10x + 17x2 + 6x3 Combine like terms: -6x3 + 6x3 = 0 -1X2 + 4xX2 + 3x2X2 + 0 = -3 + 10x + 17x2 + 6x3 -1X2 + 4xX2 + 3x2X2 = -3 + 10x + 17x2 + 6x3 Reorder the terms: 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = -3 + 10x + 17x2 + 6x3 + 3 + -10x + -17x2 + -6x3 Reorder the terms: 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = -3 + 3 + 10x + -10x + 17x2 + -17x2 + 6x3 + -6x3 Combine like terms: -3 + 3 = 0 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 0 + 10x + -10x + 17x2 + -17x2 + 6x3 + -6x3 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 10x + -10x + 17x2 + -17x2 + 6x3 + -6x3 Combine like terms: 10x + -10x = 0 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 0 + 17x2 + -17x2 + 6x3 + -6x3 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 17x2 + -17x2 + 6x3 + -6x3 Combine like terms: 17x2 + -17x2 = 0 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 0 + 6x3 + -6x3 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 3 + -1X2 + -10x + 4xX2 + -17x2 + 3x2X2 + -6x3 = 0 The solution to this equation could not be determined.
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