(2x+2)(x^5-3)+6=0

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Solution for (2x+2)(x^5-3)+6=0 equation: 


Simplifying
(2x + 2)(x5 + -3) + 6 = 0

Reorder the terms:
(2 + 2x)(x5 + -3) + 6 = 0

Reorder the terms:
(2 + 2x)(-3 + x5) + 6 = 0

Multiply (2 + 2x) * (-3 + x5)
(2(-3 + x5) + 2x * (-3 + x5)) + 6 = 0
((-3 * 2 + x5 * 2) + 2x * (-3 + x5)) + 6 = 0
((-6 + 2x5) + 2x * (-3 + x5)) + 6 = 0
(-6 + 2x5 + (-3 * 2x + x5 * 2x)) + 6 = 0
(-6 + 2x5 + (-6x + 2x6)) + 6 = 0

Reorder the terms:
(-6 + -6x + 2x5 + 2x6) + 6 = 0
(-6 + -6x + 2x5 + 2x6) + 6 = 0

Reorder the terms:
-6 + 6 + -6x + 2x5 + 2x6 = 0

Combine like terms: -6 + 6 = 0
0 + -6x + 2x5 + 2x6 = 0
-6x + 2x5 + 2x6 = 0

Solving
-6x + 2x5 + 2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + x4 + x5) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-3 + x4 + x5)' equal to zero and attempt to solve:

Simplifying
-3 + x4 + x5 = 0

Solving
-3 + x4 + x5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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