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Simplifying (x2 + x + 1)(x2 + x + 1) = 12 Reorder the terms: (1 + x + x2)(x2 + x + 1) = 12 Reorder the terms: (1 + x + x2)(1 + x + x2) = 12 Multiply (1 + x + x2) * (1 + x + x2) (1(1 + x + x2) + x(1 + x + x2) + x2(1 + x + x2)) = 12 ((1 * 1 + x * 1 + x2 * 1) + x(1 + x + x2) + x2(1 + x + x2)) = 12 ((1 + 1x + 1x2) + x(1 + x + x2) + x2(1 + x + x2)) = 12 (1 + 1x + 1x2 + (1 * x + x * x + x2 * x) + x2(1 + x + x2)) = 12 (1 + 1x + 1x2 + (1x + x2 + x3) + x2(1 + x + x2)) = 12 (1 + 1x + 1x2 + 1x + x2 + x3 + (1 * x2 + x * x2 + x2 * x2)) = 12 (1 + 1x + 1x2 + 1x + x2 + x3 + (1x2 + x3 + x4)) = 12 Reorder the terms: (1 + 1x + 1x + 1x2 + x2 + 1x2 + x3 + x3 + x4) = 12 Combine like terms: 1x + 1x = 2x (1 + 2x + 1x2 + x2 + 1x2 + x3 + x3 + x4) = 12 Combine like terms: 1x2 + x2 = 2x2 (1 + 2x + 2x2 + 1x2 + x3 + x3 + x4) = 12 Combine like terms: 2x2 + 1x2 = 3x2 (1 + 2x + 3x2 + x3 + x3 + x4) = 12 Combine like terms: x3 + x3 = 2x3 (1 + 2x + 3x2 + 2x3 + x4) = 12 Solving 1 + 2x + 3x2 + 2x3 + x4 = 12 Solving for variable 'x'. Reorder the terms: 1 + -12 + 2x + 3x2 + 2x3 + x4 = 12 + -12 Combine like terms: 1 + -12 = -11 -11 + 2x + 3x2 + 2x3 + x4 = 12 + -12 Combine like terms: 12 + -12 = 0 -11 + 2x + 3x2 + 2x3 + x4 = 0 The solution to this equation could not be determined.
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