3n(3n)=9n

Solution for 3n(3n)=9n equation:

Simplifying
3n(3n) = 9n

Remove parenthesis around (3n)
3n * 3n = 9n

Reorder the terms for easier multiplication:
3 * 3n * n = 9n

Multiply 3 * 3
9n * n = 9n

Multiply n * n
9n2 = 9n

Solving
9n2 = 9n

Solving for variable 'n'.

Reorder the terms:
-9n + 9n2 = 9n + -9n

Combine like terms: 9n + -9n = 0
-9n + 9n2 = 0

Factor out the Greatest Common Factor (GCF), '9n'.
9n(-1 + n) = 0

Ignore the factor 9.
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 '(-1 + n)' equal to zero and attempt to solve:

Simplifying
-1 + n = 0

Solving
-1 + n = 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 + n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + n = 0 + 1
n = 0 + 1

Combine like terms: 0 + 1 = 1
n = 1

Simplifying
n = 1
Solution
n = {0, 1}