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Simplifying (x2 + 7x + 12)(x2 + 3x + 5) = 0 Reorder the terms: (12 + 7x + x2)(x2 + 3x + 5) = 0 Reorder the terms: (12 + 7x + x2)(5 + 3x + x2) = 0 Multiply (12 + 7x + x2) * (5 + 3x + x2) (12(5 + 3x + x2) + 7x * (5 + 3x + x2) + x2(5 + 3x + x2)) = 0 ((5 * 12 + 3x * 12 + x2 * 12) + 7x * (5 + 3x + x2) + x2(5 + 3x + x2)) = 0 ((60 + 36x + 12x2) + 7x * (5 + 3x + x2) + x2(5 + 3x + x2)) = 0 (60 + 36x + 12x2 + (5 * 7x + 3x * 7x + x2 * 7x) + x2(5 + 3x + x2)) = 0 (60 + 36x + 12x2 + (35x + 21x2 + 7x3) + x2(5 + 3x + x2)) = 0 (60 + 36x + 12x2 + 35x + 21x2 + 7x3 + (5 * x2 + 3x * x2 + x2 * x2)) = 0 (60 + 36x + 12x2 + 35x + 21x2 + 7x3 + (5x2 + 3x3 + x4)) = 0 Reorder the terms: (60 + 36x + 35x + 12x2 + 21x2 + 5x2 + 7x3 + 3x3 + x4) = 0 Combine like terms: 36x + 35x = 71x (60 + 71x + 12x2 + 21x2 + 5x2 + 7x3 + 3x3 + x4) = 0 Combine like terms: 12x2 + 21x2 = 33x2 (60 + 71x + 33x2 + 5x2 + 7x3 + 3x3 + x4) = 0 Combine like terms: 33x2 + 5x2 = 38x2 (60 + 71x + 38x2 + 7x3 + 3x3 + x4) = 0 Combine like terms: 7x3 + 3x3 = 10x3 (60 + 71x + 38x2 + 10x3 + x4) = 0 Solving 60 + 71x + 38x2 + 10x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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