x^4+x^3+4x^2+4x=-16x

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Solution for x^4+x^3+4x^2+4x=-16x equation: 


Simplifying
x4 + x3 + 4x2 + 4x = -16x

Reorder the terms:
4x + 4x2 + x3 + x4 = -16x

Solving
4x + 4x2 + x3 + x4 = -16x

Solving for variable 'x'.

Reorder the terms:
4x + 16x + 4x2 + x3 + x4 = -16x + 16x

Combine like terms: 4x + 16x = 20x
20x + 4x2 + x3 + x4 = -16x + 16x

Combine like terms: -16x + 16x = 0
20x + 4x2 + x3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + 4x + x2 + x3) = 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 '(20 + 4x + x2 + x3)' equal to zero and attempt to solve:

Simplifying
20 + 4x + x2 + x3 = 0

Solving
20 + 4x + x2 + x3 = 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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