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

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


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

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

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

Multiply (8 + 5x) * (8 + 6x + 6x2)
(8(8 + 6x + 6x2) + 5x * (8 + 6x + 6x2)) = 0
((8 * 8 + 6x * 8 + 6x2 * 8) + 5x * (8 + 6x + 6x2)) = 0
((64 + 48x + 48x2) + 5x * (8 + 6x + 6x2)) = 0
(64 + 48x + 48x2 + (8 * 5x + 6x * 5x + 6x2 * 5x)) = 0
(64 + 48x + 48x2 + (40x + 30x2 + 30x3)) = 0

Reorder the terms:
(64 + 48x + 40x + 48x2 + 30x2 + 30x3) = 0

Combine like terms: 48x + 40x = 88x
(64 + 88x + 48x2 + 30x2 + 30x3) = 0

Combine like terms: 48x2 + 30x2 = 78x2
(64 + 88x + 78x2 + 30x3) = 0

Solving
64 + 88x + 78x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + 44x + 39x2 + 15x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(32 + 44x + 39x2 + 15x3)' equal to zero and attempt to solve: Simplifying 32 + 44x + 39x2 + 15x3 = 0 Solving 32 + 44x + 39x2 + 15x3 = 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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