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