F(x)=2x^4ln(x)

Solution for F(x)=2x^4ln(x) equation:

Simplifying
F(x) = 2x4ln(x)

Multiply F * x
xF = 2x4ln(x)

Multiply lnx4 * x
xF = 2lnx5

Solving
xF = 2lnx5

Solving for variable 'x'.

Reorder the terms:
-2lnx5 + xF = 2lnx5 + -2lnx5

Combine like terms: 2lnx5 + -2lnx5 = 0
-2lnx5 + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2lnx4 + F) = 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 '(-2lnx4 + F)' equal to zero and attempt to solve:

Simplifying
-2lnx4 + F = 0

Reorder the terms:
F + -2lnx4 = 0

Solving
F + -2lnx4 = 0

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

Add '-1F' to each side of the equation.
F + -1F + -2lnx4 = 0 + -1F

Combine like terms: F + -1F = 0
0 + -2lnx4 = 0 + -1F
-2lnx4 = 0 + -1F
Remove the zero:
-2lnx4 = -1F

Divide each side by '-2ln'.
x4 = 0.5l-1n-1F

Simplifying
x4 = 0.5l-1n-1F

The solution to this equation could not be determined.

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