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Simplifying (2x2 + 5x + 1)(x2 + 4x + 7) = 0 Reorder the terms: (1 + 5x + 2x2)(x2 + 4x + 7) = 0 Reorder the terms: (1 + 5x + 2x2)(7 + 4x + x2) = 0 Multiply (1 + 5x + 2x2) * (7 + 4x + x2) (1(7 + 4x + x2) + 5x * (7 + 4x + x2) + 2x2 * (7 + 4x + x2)) = 0 ((7 * 1 + 4x * 1 + x2 * 1) + 5x * (7 + 4x + x2) + 2x2 * (7 + 4x + x2)) = 0 ((7 + 4x + 1x2) + 5x * (7 + 4x + x2) + 2x2 * (7 + 4x + x2)) = 0 (7 + 4x + 1x2 + (7 * 5x + 4x * 5x + x2 * 5x) + 2x2 * (7 + 4x + x2)) = 0 (7 + 4x + 1x2 + (35x + 20x2 + 5x3) + 2x2 * (7 + 4x + x2)) = 0 (7 + 4x + 1x2 + 35x + 20x2 + 5x3 + (7 * 2x2 + 4x * 2x2 + x2 * 2x2)) = 0 (7 + 4x + 1x2 + 35x + 20x2 + 5x3 + (14x2 + 8x3 + 2x4)) = 0 Reorder the terms: (7 + 4x + 35x + 1x2 + 20x2 + 14x2 + 5x3 + 8x3 + 2x4) = 0 Combine like terms: 4x + 35x = 39x (7 + 39x + 1x2 + 20x2 + 14x2 + 5x3 + 8x3 + 2x4) = 0 Combine like terms: 1x2 + 20x2 = 21x2 (7 + 39x + 21x2 + 14x2 + 5x3 + 8x3 + 2x4) = 0 Combine like terms: 21x2 + 14x2 = 35x2 (7 + 39x + 35x2 + 5x3 + 8x3 + 2x4) = 0 Combine like terms: 5x3 + 8x3 = 13x3 (7 + 39x + 35x2 + 13x3 + 2x4) = 0 Solving 7 + 39x + 35x2 + 13x3 + 2x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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