x^3=5x*logx

Solution for x^3=5x*logx equation:

Simplifying
x3 = 5x * logx

Multiply x * glox
x3 = 5glox2

Solving
x3 = 5glox2

Solving for variable 'x'.

Reorder the terms:
-5glox2 + x3 = 5glox2 + -5glox2

Combine like terms: 5glox2 + -5glox2 = 0
-5glox2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-5glo + x) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-5glo + x)' equal to zero and attempt to solve:

Simplifying
-5glo + x = 0

Solving
-5glo + x = 0

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

Add '5glo' to each side of the equation.
-5glo + 5glo + x = 0 + 5glo

Combine like terms: -5glo + 5glo = 0
0 + x = 0 + 5glo
x = 0 + 5glo
Remove the zero:
x = 5glo

Simplifying
x = 5glo
Solution
x = {0, 5glo}