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Simplifying (x2 + 4x + 1)(x2 + 4x + 5) = -4 Reorder the terms: (1 + 4x + x2)(x2 + 4x + 5) = -4 Reorder the terms: (1 + 4x + x2)(5 + 4x + x2) = -4 Multiply (1 + 4x + x2) * (5 + 4x + x2) (1(5 + 4x + x2) + 4x * (5 + 4x + x2) + x2(5 + 4x + x2)) = -4 ((5 * 1 + 4x * 1 + x2 * 1) + 4x * (5 + 4x + x2) + x2(5 + 4x + x2)) = -4 ((5 + 4x + 1x2) + 4x * (5 + 4x + x2) + x2(5 + 4x + x2)) = -4 (5 + 4x + 1x2 + (5 * 4x + 4x * 4x + x2 * 4x) + x2(5 + 4x + x2)) = -4 (5 + 4x + 1x2 + (20x + 16x2 + 4x3) + x2(5 + 4x + x2)) = -4 (5 + 4x + 1x2 + 20x + 16x2 + 4x3 + (5 * x2 + 4x * x2 + x2 * x2)) = -4 (5 + 4x + 1x2 + 20x + 16x2 + 4x3 + (5x2 + 4x3 + x4)) = -4 Reorder the terms: (5 + 4x + 20x + 1x2 + 16x2 + 5x2 + 4x3 + 4x3 + x4) = -4 Combine like terms: 4x + 20x = 24x (5 + 24x + 1x2 + 16x2 + 5x2 + 4x3 + 4x3 + x4) = -4 Combine like terms: 1x2 + 16x2 = 17x2 (5 + 24x + 17x2 + 5x2 + 4x3 + 4x3 + x4) = -4 Combine like terms: 17x2 + 5x2 = 22x2 (5 + 24x + 22x2 + 4x3 + 4x3 + x4) = -4 Combine like terms: 4x3 + 4x3 = 8x3 (5 + 24x + 22x2 + 8x3 + x4) = -4 Solving 5 + 24x + 22x2 + 8x3 + x4 = -4 Solving for variable 'x'. Reorder the terms: 5 + 4 + 24x + 22x2 + 8x3 + x4 = -4 + 4 Combine like terms: 5 + 4 = 9 9 + 24x + 22x2 + 8x3 + x4 = -4 + 4 Combine like terms: -4 + 4 = 0 9 + 24x + 22x2 + 8x3 + x4 = 0 The solution to this equation could not be determined.
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