(4x^4+3x^2+8x)+(5x^3-2x^2-x)=0

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Solution for (4x^4+3x^2+8x)+(5x^3-2x^2-x)=0 equation: 


Simplifying
(4x4 + 3x2 + 8x) + (5x3 + -2x2 + -1x) = 0

Reorder the terms:
(8x + 3x2 + 4x4) + (5x3 + -2x2 + -1x) = 0

Remove parenthesis around (8x + 3x2 + 4x4)
8x + 3x2 + 4x4 + (5x3 + -2x2 + -1x) = 0

Reorder the terms:
8x + 3x2 + 4x4 + (-1x + -2x2 + 5x3) = 0

Remove parenthesis around (-1x + -2x2 + 5x3)
8x + 3x2 + 4x4 + -1x + -2x2 + 5x3 = 0

Reorder the terms:
8x + -1x + 3x2 + -2x2 + 5x3 + 4x4 = 0

Combine like terms: 8x + -1x = 7x
7x + 3x2 + -2x2 + 5x3 + 4x4 = 0

Combine like terms: 3x2 + -2x2 = 1x2
7x + 1x2 + 5x3 + 4x4 = 0

Solving
7x + 1x2 + 5x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + x + 5x2 + 4x3) = 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 '(7 + x + 5x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
7 + x + 5x2 + 4x3 = 0

Solving
7 + x + 5x2 + 4x3 = 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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