(5n)(2n)=1000

Solution for (5n)(2n)=1000 equation:

Simplifying
(5n)(2n) = 1000

Remove parenthesis around (5n)
5n(2n) = 1000

Remove parenthesis around (2n)
5n * 2n = 1000

Reorder the terms for easier multiplication:
5 * 2n * n = 1000

Multiply 5 * 2
10n * n = 1000

Multiply n * n
10n2 = 1000

Solving
10n2 = 1000

Solving for variable 'n'.

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

Divide each side by '10'.
n2 = 100

Simplifying
n2 = 100

Take the square root of each side:
n = {-10, 10}