(10n)(10n)=100n

Solution for (10n)(10n)=100n equation:

Simplifying
(10n)(10n) = 100n

Remove parenthesis around (10n)
10n(10n) = 100n

Remove parenthesis around (10n)
10n * 10n = 100n

Reorder the terms for easier multiplication:
10 * 10n * n = 100n

Multiply 10 * 10
100n * n = 100n

Multiply n * n
100n2 = 100n

Solving
100n2 = 100n

Solving for variable 'n'.

Reorder the terms:
-100n + 100n2 = 100n + -100n

Combine like terms: 100n + -100n = 0
-100n + 100n2 = 0

Factor out the Greatest Common Factor (GCF), '100n'.
100n(-1 + n) = 0

Ignore the factor 100.
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}