(9x+5)(6x^2+2x+8)=0

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Solution for (9x+5)(6x^2+2x+8)=0 equation:


Simplifying
(9x + 5)(6x2 + 2x + 8) = 0

Reorder the terms:
(5 + 9x)(6x2 + 2x + 8) = 0

Reorder the terms:
(5 + 9x)(8 + 2x + 6x2) = 0

Multiply (5 + 9x) * (8 + 2x + 6x2)
(5(8 + 2x + 6x2) + 9x * (8 + 2x + 6x2)) = 0
((8 * 5 + 2x * 5 + 6x2 * 5) + 9x * (8 + 2x + 6x2)) = 0
((40 + 10x + 30x2) + 9x * (8 + 2x + 6x2)) = 0
(40 + 10x + 30x2 + (8 * 9x + 2x * 9x + 6x2 * 9x)) = 0
(40 + 10x + 30x2 + (72x + 18x2 + 54x3)) = 0

Reorder the terms:
(40 + 10x + 72x + 30x2 + 18x2 + 54x3) = 0

Combine like terms: 10x + 72x = 82x
(40 + 82x + 30x2 + 18x2 + 54x3) = 0

Combine like terms: 30x2 + 18x2 = 48x2
(40 + 82x + 48x2 + 54x3) = 0

Solving
40 + 82x + 48x2 + 54x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 41x + 24x2 + 27x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(20 + 41x + 24x2 + 27x3)' equal to zero and attempt to solve: Simplifying 20 + 41x + 24x2 + 27x3 = 0 Solving 20 + 41x + 24x2 + 27x3 = 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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