8n^2=64n(logn)

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


Simplifying
8n2 = 64n(logn)

Multiply n * glno
8n2 = 64gln2o

Solving
8n2 = 64gln2o

Solving for variable 'n'.

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

Add '-64gln2o' to each side of the equation.
-64gln2o + 8n2 = 64gln2o + -64gln2o

Combine like terms: 64gln2o + -64gln2o = 0
-64gln2o + 8n2 = 0

Factor out the Greatest Common Factor (GCF), '8n2'.
8n2(-8glo + 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 '(-8glo + 1)' equal to zero and attempt to solve: Simplifying -8glo + 1 = 0 Reorder the terms: 1 + -8glo = 0 Solving 1 + -8glo = 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 + -8glo = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8glo = 0 + -1 -8glo = 0 + -1 Combine like terms: 0 + -1 = -1 -8glo = -1 Add '8glo' to each side of the equation. -8glo + 8glo = -1 + 8glo Combine like terms: -8glo + 8glo = 0 0 = -1 + 8glo Simplifying 0 = -1 + 8glo 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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