45=3n*5n

Solution for 45=3n*5n equation:

Simplifying
45 = 3n * 5n

Reorder the terms for easier multiplication:
45 = 3 * 5n * n

Multiply 3 * 5
45 = 15n * n

Multiply n * n
45 = 15n2

Solving
45 = 15n2

Solving for variable 'n'.

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

Add '-15n2' to each side of the equation.
45 + -15n2 = 15n2 + -15n2

Combine like terms: 15n2 + -15n2 = 0
45 + -15n2 = 0

Add '-45' to each side of the equation.
45 + -45 + -15n2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -15n2 = 0 + -45
-15n2 = 0 + -45

Combine like terms: 0 + -45 = -45
-15n2 = -45

Divide each side by '-15'.
n2 = 3

Simplifying
n2 = 3

Take the square root of each side:
n = {-1.732050808, 1.732050808}