4X^3+X=

Solution for 4X^3+X= equation:

Simplifying
4X3 + X = 0

Reorder the terms:
X + 4X3 = 0

Solving
X + 4X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(1 + 4X2) = 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 + 4X2)' equal to zero and attempt to solve:

Simplifying
1 + 4X2 = 0

Solving
1 + 4X2 = 0

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 4X2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4X2 = 0 + -1
4X2 = 0 + -1

Combine like terms: 0 + -1 = -1
4X2 = -1

Divide each side by '4'.
X2 = -0.25

Simplifying
X2 = -0.25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}