(5x^4+18x^3+10x^2+3x)+(x^2+3x)=

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Solution for (5x^4+18x^3+10x^2+3x)+(x^2+3x)= equation: 


Simplifying
(5x4 + 18x3 + 10x2 + 3x) + (x2 + 3x) = 0

Reorder the terms:
(3x + 10x2 + 18x3 + 5x4) + (x2 + 3x) = 0

Remove parenthesis around (3x + 10x2 + 18x3 + 5x4)
3x + 10x2 + 18x3 + 5x4 + (x2 + 3x) = 0

Reorder the terms:
3x + 10x2 + 18x3 + 5x4 + (3x + x2) = 0

Remove parenthesis around (3x + x2)
3x + 10x2 + 18x3 + 5x4 + 3x + x2 = 0

Reorder the terms:
3x + 3x + 10x2 + x2 + 18x3 + 5x4 = 0

Combine like terms: 3x + 3x = 6x
6x + 10x2 + x2 + 18x3 + 5x4 = 0

Combine like terms: 10x2 + x2 = 11x2
6x + 11x2 + 18x3 + 5x4 = 0

Solving
6x + 11x2 + 18x3 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + 11x + 18x2 + 5x3) = 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 '(6 + 11x + 18x2 + 5x3)' equal to zero and attempt to solve:

Simplifying
6 + 11x + 18x2 + 5x3 = 0

Solving
6 + 11x + 18x2 + 5x3 = 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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