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Simplifying (x^{2}+ 3)(x^{3}+ 2x^{2}+ 3x + 6) + (2x^{3}+ 3) = 0 Reorder the terms: (3 + x^{2})(x^{3}+ 2x^{2}+ 3x + 6) + (2x^{3}+ 3) = 0 Reorder the terms: (3 + x^{2})(6 + 3x + 2x^{2}+ x^{3}) + (2x^{3}+ 3) = 0 Multiply (3 + x^{2}) * (6 + 3x + 2x^{2}+ x^{3}) (3(6 + 3x + 2x^{2}+ x^{3}) + x^{2}(6 + 3x + 2x^{2}+ x^{3})) + (2x^{3}+ 3) = 0 ((6 * 3 + 3x * 3 + 2x^{2}* 3 + x^{3}* 3) + x^{2}(6 + 3x + 2x^{2}+ x^{3})) + (2x^{3}+ 3) = 0 ((18 + 9x + 6x^{2}+ 3x^{3}) + x^{2}(6 + 3x + 2x^{2}+ x^{3})) + (2x^{3}+ 3) = 0 (18 + 9x + 6x^{2}+ 3x^{3}+ (6 * x^{2}+ 3x * x^{2}+ 2x^{2}* x^{2}+ x^{3}* x^{2})) + (2x^{3}+ 3) = 0 (18 + 9x + 6x^{2}+ 3x^{3}+ (6x^{2}+ 3x^{3}+ 2x^{4}+ x^{5})) + (2x^{3}+ 3) = 0 Reorder the terms: (18 + 9x + 6x^{2}+ 6x^{2}+ 3x^{3}+ 3x^{3}+ 2x^{4}+ x^{5}) + (2x^{3}+ 3) = 0 Combine like terms: 6x^{2}+ 6x^{2}= 12x^{2}(18 + 9x + 12x^{2}+ 3x^{3}+ 3x^{3}+ 2x^{4}+ x^{5}) + (2x^{3}+ 3) = 0 Combine like terms: 3x^{3}+ 3x^{3}= 6x^{3}(18 + 9x + 12x^{2}+ 6x^{3}+ 2x^{4}+ x^{5}) + (2x^{3}+ 3) = 0 Reorder the terms: 18 + 9x + 12x^{2}+ 6x^{3}+ 2x^{4}+ x^{5}+ (3 + 2x^{3}) = 0 Remove parenthesis around (3 + 2x^{3}) 18 + 9x + 12x^{2}+ 6x^{3}+ 2x^{4}+ x^{5}+ 3 + 2x^{3}= 0 Reorder the terms: 18 + 3 + 9x + 12x^{2}+ 6x^{3}+ 2x^{3}+ 2x^{4}+ x^{5}= 0 Combine like terms: 18 + 3 = 21 21 + 9x + 12x^{2}+ 6x^{3}+ 2x^{3}+ 2x^{4}+ x^{5}= 0 Combine like terms: 6x^{3}+ 2x^{3}= 8x^{3}21 + 9x + 12x^{2}+ 8x^{3}+ 2x^{4}+ x^{5}= 0 Solving 21 + 9x + 12x^{2}+ 8x^{3}+ 2x^{4}+ x^{5}= 0 Solving for variable 'x'. The solution to this equation could not be determined.

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