1.50n(2n)=10.50

Solution for 1.50n(2n)=10.50 equation:

Simplifying
1.50n(2n) = 10.50

Remove parenthesis around (2n)
1.50n * 2n = 10.50

Reorder the terms for easier multiplication:
1.50 * 2n * n = 10.50

Multiply 1.50 * 2
3n * n = 10.50

Multiply n * n
3n2 = 10.50

Solving
3n2 = 10.50

Solving for variable 'n'.

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

Divide each side by '3'.
n2 = 3.5

Simplifying
n2 = 3.5

Take the square root of each side:
n = {-1.870828693, 1.870828693}