2.25=.10n*.05n

Solution for 2.25=.10n*.05n equation:

Simplifying
2.25 = 0.10n * 0.05n

Reorder the terms for easier multiplication:
2.25 = 0.10 * 0.05n * n

Multiply 0.10 * 0.05
2.25 = 0.005n * n

Multiply n * n
2.25 = 0.005n2

Solving
2.25 = 0.005n2

Solving for variable 'n'.

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

Add '-0.005n2' to each side of the equation.
2.25 + -0.005n2 = 0.005n2 + -0.005n2

Combine like terms: 0.005n2 + -0.005n2 = 0.000
2.25 + -0.005n2 = 0.000

Add '-2.25' to each side of the equation.
2.25 + -2.25 + -0.005n2 = 0.000 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -0.005n2 = 0.000 + -2.25
-0.005n2 = 0.000 + -2.25

Combine like terms: 0.000 + -2.25 = -2.25
-0.005n2 = -2.25

Divide each side by '-0.005'.
n2 = 450

Simplifying
n2 = 450

Take the square root of each side:
n = {-21.213203436, 21.213203436}