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Simplifying (X2 + x + -6)(x2 + x + -2) + 3 = 0 Reorder the terms: (-6 + X2 + x)(x2 + x + -2) + 3 = 0 Reorder the terms: (-6 + X2 + x)(-2 + x + x2) + 3 = 0 Multiply (-6 + X2 + x) * (-2 + x + x2) (-6(-2 + x + x2) + X2(-2 + x + x2) + x(-2 + x + x2)) + 3 = 0 ((-2 * -6 + x * -6 + x2 * -6) + X2(-2 + x + x2) + x(-2 + x + x2)) + 3 = 0 ((12 + -6x + -6x2) + X2(-2 + x + x2) + x(-2 + x + x2)) + 3 = 0 (12 + -6x + -6x2 + (-2 * X2 + x * X2 + x2 * X2) + x(-2 + x + x2)) + 3 = 0 (12 + -6x + -6x2 + (-2X2 + xX2 + x2X2) + x(-2 + x + x2)) + 3 = 0 (12 + -6x + -6x2 + -2X2 + xX2 + x2X2 + (-2 * x + x * x + x2 * x)) + 3 = 0 (12 + -6x + -6x2 + -2X2 + xX2 + x2X2 + (-2x + x2 + x3)) + 3 = 0 Reorder the terms: (12 + -2X2 + -6x + -2x + xX2 + -6x2 + x2 + x2X2 + x3) + 3 = 0 Combine like terms: -6x + -2x = -8x (12 + -2X2 + -8x + xX2 + -6x2 + x2 + x2X2 + x3) + 3 = 0 Combine like terms: -6x2 + x2 = -5x2 (12 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3) + 3 = 0 Reorder the terms: 12 + 3 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 Combine like terms: 12 + 3 = 15 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 Solving 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + -15 + x3 = 0 + -15 Reorder the terms: 15 + -15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 + -15 -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 + -15 Combine like terms: 0 + -15 = -15 -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = -15 Add '8x' to each side of the equation. -2X2 + -8x + xX2 + -5x2 + x2X2 + 8x + x3 = -15 + 8x Reorder the terms: -2X2 + -8x + 8x + xX2 + -5x2 + x2X2 + x3 = -15 + 8x Combine like terms: -8x + 8x = 0 -2X2 + 0 + xX2 + -5x2 + x2X2 + x3 = -15 + 8x -2X2 + xX2 + -5x2 + x2X2 + x3 = -15 + 8x Add '5x2' to each side of the equation. -2X2 + xX2 + -5x2 + x2X2 + 5x2 + x3 = -15 + 8x + 5x2 Reorder the terms: -2X2 + xX2 + -5x2 + 5x2 + x2X2 + x3 = -15 + 8x + 5x2 Combine like terms: -5x2 + 5x2 = 0 -2X2 + xX2 + 0 + x2X2 + x3 = -15 + 8x + 5x2 -2X2 + xX2 + x2X2 + x3 = -15 + 8x + 5x2 Add '-1x3' to each side of the equation. -2X2 + xX2 + x2X2 + x3 + -1x3 = -15 + 8x + 5x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -2X2 + xX2 + x2X2 + 0 = -15 + 8x + 5x2 + -1x3 -2X2 + xX2 + x2X2 = -15 + 8x + 5x2 + -1x3 Reorder the terms: 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = -15 + 8x + 5x2 + -1x3 + 15 + -8x + -5x2 + x3 Reorder the terms: 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = -15 + 15 + 8x + -8x + 5x2 + -5x2 + -1x3 + x3 Combine like terms: -15 + 15 = 0 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 + 8x + -8x + 5x2 + -5x2 + -1x3 + x3 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 8x + -8x + 5x2 + -5x2 + -1x3 + x3 Combine like terms: 8x + -8x = 0 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 + 5x2 + -5x2 + -1x3 + x3 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 5x2 + -5x2 + -1x3 + x3 Combine like terms: 5x2 + -5x2 = 0 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 + -1x3 + x3 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 15 + -2X2 + -8x + xX2 + -5x2 + x2X2 + x3 = 0 The solution to this equation could not be determined.
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