5n(n-11)=

Solution for 5n(n-11)= equation:

Simplifying
5n(n + -11) = 0

Reorder the terms:
5n(-11 + n) = 0
(-11 * 5n + n * 5n) = 0
(-55n + 5n2) = 0

Solving
-55n + 5n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(-11 + n) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-11 + n)' equal to zero and attempt to solve:

Simplifying
-11 + n = 0

Solving
-11 + n = 0

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

Add '11' to each side of the equation.
-11 + 11 + n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + n = 0 + 11
n = 0 + 11

Combine like terms: 0 + 11 = 11
n = 11

Simplifying
n = 11
Solution
n = {0, 11}