x^2-5x=O(logx)

Solution for x^2-5x=O(logx) equation:

Simplifying
x2 + -5x = O(logx)

Reorder the terms:
-5x + x2 = O(logx)

Multiply O * glox
-5x + x2 = gloxO

Solving
-5x + x2 = gloxO

Solving for variable 'x'.

Reorder the terms:
-1gloxO + -5x + x2 = gloxO + -1gloxO

Combine like terms: gloxO + -1gloxO = 0
-1gloxO + -5x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1gloO + -5 + 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 '(-1gloO + -5 + x)' equal to zero and attempt to solve:

Simplifying
-1gloO + -5 + x = 0

Reorder the terms:
-5 + -1gloO + x = 0

Solving
-5 + -1gloO + x = 0

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

Add '5' to each side of the equation.
-5 + -1gloO + 5 + x = 0 + 5

Reorder the terms:
-5 + 5 + -1gloO + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1gloO + x = 0 + 5
-1gloO + x = 0 + 5

Combine like terms: 0 + 5 = 5
-1gloO + x = 5

Add 'gloO' to each side of the equation.
-1gloO + gloO + x = 5 + gloO

Combine like terms: -1gloO + gloO = 0
0 + x = 5 + gloO
x = 5 + gloO

Simplifying
x = 5 + gloO
Solution
x = {0, 5 + gloO}