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Simplifying (3x3 + 4x2 + 2x + 9)(2x + 9) = 0 Reorder the terms: (9 + 2x + 4x2 + 3x3)(2x + 9) = 0 Reorder the terms: (9 + 2x + 4x2 + 3x3)(9 + 2x) = 0 Multiply (9 + 2x + 4x2 + 3x3) * (9 + 2x) (9(9 + 2x) + 2x * (9 + 2x) + 4x2 * (9 + 2x) + 3x3 * (9 + 2x)) = 0 ((9 * 9 + 2x * 9) + 2x * (9 + 2x) + 4x2 * (9 + 2x) + 3x3 * (9 + 2x)) = 0 ((81 + 18x) + 2x * (9 + 2x) + 4x2 * (9 + 2x) + 3x3 * (9 + 2x)) = 0 (81 + 18x + (9 * 2x + 2x * 2x) + 4x2 * (9 + 2x) + 3x3 * (9 + 2x)) = 0 (81 + 18x + (18x + 4x2) + 4x2 * (9 + 2x) + 3x3 * (9 + 2x)) = 0 (81 + 18x + 18x + 4x2 + (9 * 4x2 + 2x * 4x2) + 3x3 * (9 + 2x)) = 0 (81 + 18x + 18x + 4x2 + (36x2 + 8x3) + 3x3 * (9 + 2x)) = 0 (81 + 18x + 18x + 4x2 + 36x2 + 8x3 + (9 * 3x3 + 2x * 3x3)) = 0 (81 + 18x + 18x + 4x2 + 36x2 + 8x3 + (27x3 + 6x4)) = 0 Combine like terms: 18x + 18x = 36x (81 + 36x + 4x2 + 36x2 + 8x3 + 27x3 + 6x4) = 0 Combine like terms: 4x2 + 36x2 = 40x2 (81 + 36x + 40x2 + 8x3 + 27x3 + 6x4) = 0 Combine like terms: 8x3 + 27x3 = 35x3 (81 + 36x + 40x2 + 35x3 + 6x4) = 0 Solving 81 + 36x + 40x2 + 35x3 + 6x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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