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Simplifying (5x2 + 12x + 7)(x + 1) = 0 Reorder the terms: (7 + 12x + 5x2)(x + 1) = 0 Reorder the terms: (7 + 12x + 5x2)(1 + x) = 0 Multiply (7 + 12x + 5x2) * (1 + x) (7(1 + x) + 12x * (1 + x) + 5x2 * (1 + x)) = 0 ((1 * 7 + x * 7) + 12x * (1 + x) + 5x2 * (1 + x)) = 0 ((7 + 7x) + 12x * (1 + x) + 5x2 * (1 + x)) = 0 (7 + 7x + (1 * 12x + x * 12x) + 5x2 * (1 + x)) = 0 (7 + 7x + (12x + 12x2) + 5x2 * (1 + x)) = 0 (7 + 7x + 12x + 12x2 + (1 * 5x2 + x * 5x2)) = 0 (7 + 7x + 12x + 12x2 + (5x2 + 5x3)) = 0 Combine like terms: 7x + 12x = 19x (7 + 19x + 12x2 + 5x2 + 5x3) = 0 Combine like terms: 12x2 + 5x2 = 17x2 (7 + 19x + 17x2 + 5x3) = 0 Solving 7 + 19x + 17x2 + 5x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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