(2x^3+4x+3)(9)+(6x^2+4)(9x+6)=0

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Solution for (2x^3+4x+3)(9)+(6x^2+4)(9x+6)=0 equation: 


Simplifying
(2x3 + 4x + 3)(9) + (6x2 + 4)(9x + 6) = 0

Reorder the terms:
(3 + 4x + 2x3)(9) + (6x2 + 4)(9x + 6) = 0

Reorder the terms for easier multiplication:
9(3 + 4x + 2x3) + (6x2 + 4)(9x + 6) = 0
(3 * 9 + 4x * 9 + 2x3 * 9) + (6x2 + 4)(9x + 6) = 0
(27 + 36x + 18x3) + (6x2 + 4)(9x + 6) = 0

Reorder the terms:
27 + 36x + 18x3 + (4 + 6x2)(9x + 6) = 0

Reorder the terms:
27 + 36x + 18x3 + (4 + 6x2)(6 + 9x) = 0

Multiply (4 + 6x2) * (6 + 9x)
27 + 36x + 18x3 + (4(6 + 9x) + 6x2 * (6 + 9x)) = 0
27 + 36x + 18x3 + ((6 * 4 + 9x * 4) + 6x2 * (6 + 9x)) = 0
27 + 36x + 18x3 + ((24 + 36x) + 6x2 * (6 + 9x)) = 0
27 + 36x + 18x3 + (24 + 36x + (6 * 6x2 + 9x * 6x2)) = 0
27 + 36x + 18x3 + (24 + 36x + (36x2 + 54x3)) = 0
27 + 36x + 18x3 + (24 + 36x + 36x2 + 54x3) = 0

Reorder the terms:
27 + 24 + 36x + 36x + 36x2 + 18x3 + 54x3 = 0

Combine like terms: 27 + 24 = 51
51 + 36x + 36x + 36x2 + 18x3 + 54x3 = 0

Combine like terms: 36x + 36x = 72x
51 + 72x + 36x2 + 18x3 + 54x3 = 0

Combine like terms: 18x3 + 54x3 = 72x3
51 + 72x + 36x2 + 72x3 = 0

Solving
51 + 72x + 36x2 + 72x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(17 + 24x + 12x2 + 24x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(17 + 24x + 12x2 + 24x3)' equal to zero and attempt to solve:

Simplifying
17 + 24x + 12x2 + 24x3 = 0

Solving
17 + 24x + 12x2 + 24x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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