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Simplifying (x2 + x + -1)(x2 + 3x + 1) = 55 Reorder the terms: (-1 + x + x2)(x2 + 3x + 1) = 55 Reorder the terms: (-1 + x + x2)(1 + 3x + x2) = 55 Multiply (-1 + x + x2) * (1 + 3x + x2) (-1(1 + 3x + x2) + x(1 + 3x + x2) + x2(1 + 3x + x2)) = 55 ((1 * -1 + 3x * -1 + x2 * -1) + x(1 + 3x + x2) + x2(1 + 3x + x2)) = 55 ((-1 + -3x + -1x2) + x(1 + 3x + x2) + x2(1 + 3x + x2)) = 55 (-1 + -3x + -1x2 + (1 * x + 3x * x + x2 * x) + x2(1 + 3x + x2)) = 55 (-1 + -3x + -1x2 + (1x + 3x2 + x3) + x2(1 + 3x + x2)) = 55 (-1 + -3x + -1x2 + 1x + 3x2 + x3 + (1 * x2 + 3x * x2 + x2 * x2)) = 55 (-1 + -3x + -1x2 + 1x + 3x2 + x3 + (1x2 + 3x3 + x4)) = 55 Reorder the terms: (-1 + -3x + 1x + -1x2 + 3x2 + 1x2 + x3 + 3x3 + x4) = 55 Combine like terms: -3x + 1x = -2x (-1 + -2x + -1x2 + 3x2 + 1x2 + x3 + 3x3 + x4) = 55 Combine like terms: -1x2 + 3x2 = 2x2 (-1 + -2x + 2x2 + 1x2 + x3 + 3x3 + x4) = 55 Combine like terms: 2x2 + 1x2 = 3x2 (-1 + -2x + 3x2 + x3 + 3x3 + x4) = 55 Combine like terms: x3 + 3x3 = 4x3 (-1 + -2x + 3x2 + 4x3 + x4) = 55 Solving -1 + -2x + 3x2 + 4x3 + x4 = 55 Solving for variable 'x'. Reorder the terms: -1 + -55 + -2x + 3x2 + 4x3 + x4 = 55 + -55 Combine like terms: -1 + -55 = -56 -56 + -2x + 3x2 + 4x3 + x4 = 55 + -55 Combine like terms: 55 + -55 = 0 -56 + -2x + 3x2 + 4x3 + x4 = 0 The solution to this equation could not be determined.
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