x(x+1)(x+6-x^3)=5x

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Solution for x(x+1)(x+6-x^3)=5x equation: 


Simplifying
x(x + 1)(x + 6 + -1x3) = 5x

Reorder the terms:
x(1 + x)(x + 6 + -1x3) = 5x

Reorder the terms:
x(1 + x)(6 + x + -1x3) = 5x

Multiply (1 + x) * (6 + x + -1x3)
x(1(6 + x + -1x3) + x(6 + x + -1x3)) = 5x
x((6 * 1 + x * 1 + -1x3 * 1) + x(6 + x + -1x3)) = 5x
x((6 + 1x + -1x3) + x(6 + x + -1x3)) = 5x
x(6 + 1x + -1x3 + (6 * x + x * x + -1x3 * x)) = 5x
x(6 + 1x + -1x3 + (6x + x2 + -1x4)) = 5x

Reorder the terms:
x(6 + 1x + 6x + x2 + -1x3 + -1x4) = 5x

Combine like terms: 1x + 6x = 7x
x(6 + 7x + x2 + -1x3 + -1x4) = 5x
(6 * x + 7x * x + x2 * x + -1x3 * x + -1x4 * x) = 5x
(6x + 7x2 + x3 + -1x4 + -1x5) = 5x

Solving
6x + 7x2 + x3 + -1x4 + -1x5 = 5x

Solving for variable 'x'.

Reorder the terms:
6x + -5x + 7x2 + x3 + -1x4 + -1x5 = 5x + -5x

Combine like terms: 6x + -5x = 1x
1x + 7x2 + x3 + -1x4 + -1x5 = 5x + -5x

Combine like terms: 5x + -5x = 0
1x + 7x2 + x3 + -1x4 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 7x + x2 + -1x3 + -1x4) = 0


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 '(1 + 7x + x2 + -1x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
1 + 7x + x2 + -1x3 + -1x4 = 0

Solving
1 + 7x + x2 + -1x3 + -1x4 = 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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