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Simplifying (x2 + 5x + 4)(x2 + 5x + 6) = 3 Reorder the terms: (4 + 5x + x2)(x2 + 5x + 6) = 3 Reorder the terms: (4 + 5x + x2)(6 + 5x + x2) = 3 Multiply (4 + 5x + x2) * (6 + 5x + x2) (4(6 + 5x + x2) + 5x * (6 + 5x + x2) + x2(6 + 5x + x2)) = 3 ((6 * 4 + 5x * 4 + x2 * 4) + 5x * (6 + 5x + x2) + x2(6 + 5x + x2)) = 3 ((24 + 20x + 4x2) + 5x * (6 + 5x + x2) + x2(6 + 5x + x2)) = 3 (24 + 20x + 4x2 + (6 * 5x + 5x * 5x + x2 * 5x) + x2(6 + 5x + x2)) = 3 (24 + 20x + 4x2 + (30x + 25x2 + 5x3) + x2(6 + 5x + x2)) = 3 (24 + 20x + 4x2 + 30x + 25x2 + 5x3 + (6 * x2 + 5x * x2 + x2 * x2)) = 3 (24 + 20x + 4x2 + 30x + 25x2 + 5x3 + (6x2 + 5x3 + x4)) = 3 Reorder the terms: (24 + 20x + 30x + 4x2 + 25x2 + 6x2 + 5x3 + 5x3 + x4) = 3 Combine like terms: 20x + 30x = 50x (24 + 50x + 4x2 + 25x2 + 6x2 + 5x3 + 5x3 + x4) = 3 Combine like terms: 4x2 + 25x2 = 29x2 (24 + 50x + 29x2 + 6x2 + 5x3 + 5x3 + x4) = 3 Combine like terms: 29x2 + 6x2 = 35x2 (24 + 50x + 35x2 + 5x3 + 5x3 + x4) = 3 Combine like terms: 5x3 + 5x3 = 10x3 (24 + 50x + 35x2 + 10x3 + x4) = 3 Solving 24 + 50x + 35x2 + 10x3 + x4 = 3 Solving for variable 'x'. Reorder the terms: 24 + -3 + 50x + 35x2 + 10x3 + x4 = 3 + -3 Combine like terms: 24 + -3 = 21 21 + 50x + 35x2 + 10x3 + x4 = 3 + -3 Combine like terms: 3 + -3 = 0 21 + 50x + 35x2 + 10x3 + x4 = 0 The solution to this equation could not be determined.
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