x^2=30lnx

Solution for x^2=30lnx equation:

Simplifying
x2 = 30lnx

Solving
x2 = 30lnx

Solving for variable 'x'.

Reorder the terms:
-30lnx + x2 = 30lnx + -30lnx

Combine like terms: 30lnx + -30lnx = 0
-30lnx + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30ln + x) = 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 '(-30ln + x)' equal to zero and attempt to solve:

Simplifying
-30ln + x = 0

Solving
-30ln + x = 0

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

Add '30ln' to each side of the equation.
-30ln + 30ln + x = 0 + 30ln

Combine like terms: -30ln + 30ln = 0
0 + x = 0 + 30ln
x = 0 + 30ln
Remove the zero:
x = 30ln

Simplifying
x = 30ln
Solution
x = {0, 30ln}