8*n^2=64*n*log(2)n

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Solution for 8*n^2=64*n*log(2)n equation: 


Simplifying
8n2 = 64n * log(2) * n

Reorder the terms for easier multiplication:
8n2 = 64 * 2n * glo * n

Multiply 64 * 2
8n2 = 128n * glo * n

Multiply n * glo
8n2 = 128glno * n

Multiply glno * n
8n2 = 128gln2o

Solving
8n2 = 128gln2o

Solving for variable 'n'.

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

Add '-128gln2o' to each side of the equation.
-128gln2o + 8n2 = 128gln2o + -128gln2o

Combine like terms: 128gln2o + -128gln2o = 0
-128gln2o + 8n2 = 0

Factor out the Greatest Common Factor (GCF), '8n2'.
8n2(-16glo + 1) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

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

Simplifying
n2 = 0

Take the square root of each side:
n = {0}

Subproblem 2
Set the factor '(-16glo + 1)' equal to zero and attempt to solve:

Simplifying
-16glo + 1 = 0

Reorder the terms:
1 + -16glo = 0

Solving
1 + -16glo = 0

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

Add '-1' to each side of the equation.
1 + -1 + -16glo = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -16glo = 0 + -1
-16glo = 0 + -1

Combine like terms: 0 + -1 = -1
-16glo = -1

Add '16glo' to each side of the equation.
-16glo + 16glo = -1 + 16glo

Combine like terms: -16glo + 16glo = 0
0 = -1 + 16glo

Simplifying
0 = -1 + 16glo

The solution to this equation could not be determined.

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

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