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Simplifying (x2 + 5x + 12)(x2 + 6x + 7) = 0 Reorder the terms: (12 + 5x + x2)(x2 + 6x + 7) = 0 Reorder the terms: (12 + 5x + x2)(7 + 6x + x2) = 0 Multiply (12 + 5x + x2) * (7 + 6x + x2) (12(7 + 6x + x2) + 5x * (7 + 6x + x2) + x2(7 + 6x + x2)) = 0 ((7 * 12 + 6x * 12 + x2 * 12) + 5x * (7 + 6x + x2) + x2(7 + 6x + x2)) = 0 ((84 + 72x + 12x2) + 5x * (7 + 6x + x2) + x2(7 + 6x + x2)) = 0 (84 + 72x + 12x2 + (7 * 5x + 6x * 5x + x2 * 5x) + x2(7 + 6x + x2)) = 0 (84 + 72x + 12x2 + (35x + 30x2 + 5x3) + x2(7 + 6x + x2)) = 0 (84 + 72x + 12x2 + 35x + 30x2 + 5x3 + (7 * x2 + 6x * x2 + x2 * x2)) = 0 (84 + 72x + 12x2 + 35x + 30x2 + 5x3 + (7x2 + 6x3 + x4)) = 0 Reorder the terms: (84 + 72x + 35x + 12x2 + 30x2 + 7x2 + 5x3 + 6x3 + x4) = 0 Combine like terms: 72x + 35x = 107x (84 + 107x + 12x2 + 30x2 + 7x2 + 5x3 + 6x3 + x4) = 0 Combine like terms: 12x2 + 30x2 = 42x2 (84 + 107x + 42x2 + 7x2 + 5x3 + 6x3 + x4) = 0 Combine like terms: 42x2 + 7x2 = 49x2 (84 + 107x + 49x2 + 5x3 + 6x3 + x4) = 0 Combine like terms: 5x3 + 6x3 = 11x3 (84 + 107x + 49x2 + 11x3 + x4) = 0 Solving 84 + 107x + 49x2 + 11x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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