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

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


Simplifying
(2x3 + 2x) + (3x4 + x3 + -5x) = 0

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

Remove parenthesis around (2x + 2x3)
2x + 2x3 + (3x4 + x3 + -5x) = 0

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

Remove parenthesis around (-5x + x3 + 3x4)
2x + 2x3 + -5x + x3 + 3x4 = 0

Reorder the terms:
2x + -5x + 2x3 + x3 + 3x4 = 0

Combine like terms: 2x + -5x = -3x
-3x + 2x3 + x3 + 3x4 = 0

Combine like terms: 2x3 + x3 = 3x3
-3x + 3x3 + 3x4 = 0

Solving
-3x + 3x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + x2 + x3) = 0

Ignore the factor 3.

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 + x2 + x3)' equal to zero and attempt to solve:

Simplifying
-1 + x2 + x3 = 0

Solving
-1 + 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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