(3x^3+3x+5)(6x+4)=0

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Solution for (3x^3+3x+5)(6x+4)=0 equation:


Simplifying
(3x3 + 3x + 5)(6x + 4) = 0

Reorder the terms:
(5 + 3x + 3x3)(6x + 4) = 0

Reorder the terms:
(5 + 3x + 3x3)(4 + 6x) = 0

Multiply (5 + 3x + 3x3) * (4 + 6x)
(5(4 + 6x) + 3x * (4 + 6x) + 3x3 * (4 + 6x)) = 0
((4 * 5 + 6x * 5) + 3x * (4 + 6x) + 3x3 * (4 + 6x)) = 0
((20 + 30x) + 3x * (4 + 6x) + 3x3 * (4 + 6x)) = 0
(20 + 30x + (4 * 3x + 6x * 3x) + 3x3 * (4 + 6x)) = 0
(20 + 30x + (12x + 18x2) + 3x3 * (4 + 6x)) = 0
(20 + 30x + 12x + 18x2 + (4 * 3x3 + 6x * 3x3)) = 0
(20 + 30x + 12x + 18x2 + (12x3 + 18x4)) = 0

Combine like terms: 30x + 12x = 42x
(20 + 42x + 18x2 + 12x3 + 18x4) = 0

Solving
20 + 42x + 18x2 + 12x3 + 18x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 21x + 9x2 + 6x3 + 9x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(10 + 21x + 9x2 + 6x3 + 9x4)' equal to zero and attempt to solve: Simplifying 10 + 21x + 9x2 + 6x3 + 9x4 = 0 Solving 10 + 21x + 9x2 + 6x3 + 9x4 = 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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