(2x+6)(x^2-9)(x^3+1)=0

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Solution for (2x+6)(x^2-9)(x^3+1)=0 equation: 


Simplifying
(2x + 6)(x2 + -9)(x3 + 1) = 0

Reorder the terms:
(6 + 2x)(x2 + -9)(x3 + 1) = 0

Reorder the terms:
(6 + 2x)(-9 + x2)(x3 + 1) = 0

Reorder the terms:
(6 + 2x)(-9 + x2)(1 + x3) = 0

Multiply (6 + 2x) * (-9 + x2)
(6(-9 + x2) + 2x * (-9 + x2))(1 + x3) = 0
((-9 * 6 + x2 * 6) + 2x * (-9 + x2))(1 + x3) = 0
((-54 + 6x2) + 2x * (-9 + x2))(1 + x3) = 0
(-54 + 6x2 + (-9 * 2x + x2 * 2x))(1 + x3) = 0
(-54 + 6x2 + (-18x + 2x3))(1 + x3) = 0

Reorder the terms:
(-54 + -18x + 6x2 + 2x3)(1 + x3) = 0
(-54 + -18x + 6x2 + 2x3)(1 + x3) = 0

Multiply (-54 + -18x + 6x2 + 2x3) * (1 + x3)
(-54(1 + x3) + -18x * (1 + x3) + 6x2 * (1 + x3) + 2x3 * (1 + x3)) = 0
((1 * -54 + x3 * -54) + -18x * (1 + x3) + 6x2 * (1 + x3) + 2x3 * (1 + x3)) = 0
((-54 + -54x3) + -18x * (1 + x3) + 6x2 * (1 + x3) + 2x3 * (1 + x3)) = 0
(-54 + -54x3 + (1 * -18x + x3 * -18x) + 6x2 * (1 + x3) + 2x3 * (1 + x3)) = 0
(-54 + -54x3 + (-18x + -18x4) + 6x2 * (1 + x3) + 2x3 * (1 + x3)) = 0
(-54 + -54x3 + -18x + -18x4 + (1 * 6x2 + x3 * 6x2) + 2x3 * (1 + x3)) = 0
(-54 + -54x3 + -18x + -18x4 + (6x2 + 6x5) + 2x3 * (1 + x3)) = 0
(-54 + -54x3 + -18x + -18x4 + 6x2 + 6x5 + (1 * 2x3 + x3 * 2x3)) = 0
(-54 + -54x3 + -18x + -18x4 + 6x2 + 6x5 + (2x3 + 2x6)) = 0

Reorder the terms:
(-54 + -18x + 6x2 + -54x3 + 2x3 + -18x4 + 6x5 + 2x6) = 0

Combine like terms: -54x3 + 2x3 = -52x3
(-54 + -18x + 6x2 + -52x3 + -18x4 + 6x5 + 2x6) = 0

Solving
-54 + -18x + 6x2 + -52x3 + -18x4 + 6x5 + 2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + -9x + 3x2 + -26x3 + -9x4 + 3x5 + x6) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-27 + -9x + 3x2 + -26x3 + -9x4 + 3x5 + x6)' equal to zero and attempt to solve:

Simplifying
-27 + -9x + 3x2 + -26x3 + -9x4 + 3x5 + x6 = 0

Solving
-27 + -9x + 3x2 + -26x3 + -9x4 + 3x5 + x6 = 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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