8*x^2-64*x*ln(x)=0

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Solution for 8*x^2-64*x*ln(x)=0 equation: 


Simplifying
8x2 + -64x * ln(x) = 0

Multiply x * ln
8x2 + -64lnx * x = 0

Multiply lnx * x
8x2 + -64lnx2 = 0

Reorder the terms:
-64lnx2 + 8x2 = 0

Solving
-64lnx2 + 8x2 = 0

Solving for variable 'l'.

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

Add '-8x2' to each side of the equation.
-64lnx2 + 8x2 + -8x2 = 0 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-64lnx2 + 0 = 0 + -8x2
-64lnx2 = 0 + -8x2
Remove the zero:
-64lnx2 = -8x2

Divide each side by '-64nx2'.
l = 0.125n-1

Simplifying
l = 0.125n-1

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