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Simplifying (x2 + x + 1)(x2 + x + 2) = 12 Reorder the terms: (1 + x + x2)(x2 + x + 2) = 12 Reorder the terms: (1 + x + x2)(2 + x + x2) = 12 Multiply (1 + x + x2) * (2 + x + x2) (1(2 + x + x2) + x(2 + x + x2) + x2(2 + x + x2)) = 12 ((2 * 1 + x * 1 + x2 * 1) + x(2 + x + x2) + x2(2 + x + x2)) = 12 ((2 + 1x + 1x2) + x(2 + x + x2) + x2(2 + x + x2)) = 12 (2 + 1x + 1x2 + (2 * x + x * x + x2 * x) + x2(2 + x + x2)) = 12 (2 + 1x + 1x2 + (2x + x2 + x3) + x2(2 + x + x2)) = 12 (2 + 1x + 1x2 + 2x + x2 + x3 + (2 * x2 + x * x2 + x2 * x2)) = 12 (2 + 1x + 1x2 + 2x + x2 + x3 + (2x2 + x3 + x4)) = 12 Reorder the terms: (2 + 1x + 2x + 1x2 + x2 + 2x2 + x3 + x3 + x4) = 12 Combine like terms: 1x + 2x = 3x (2 + 3x + 1x2 + x2 + 2x2 + x3 + x3 + x4) = 12 Combine like terms: 1x2 + x2 = 2x2 (2 + 3x + 2x2 + 2x2 + x3 + x3 + x4) = 12 Combine like terms: 2x2 + 2x2 = 4x2 (2 + 3x + 4x2 + x3 + x3 + x4) = 12 Combine like terms: x3 + x3 = 2x3 (2 + 3x + 4x2 + 2x3 + x4) = 12 Solving 2 + 3x + 4x2 + 2x3 + x4 = 12 Solving for variable 'x'. Reorder the terms: 2 + -12 + 3x + 4x2 + 2x3 + x4 = 12 + -12 Combine like terms: 2 + -12 = -10 -10 + 3x + 4x2 + 2x3 + x4 = 12 + -12 Combine like terms: 12 + -12 = 0 -10 + 3x + 4x2 + 2x3 + x4 = 0 The solution to this equation could not be determined.
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