4n*3n+2=44

Solution for 4n*3n+2=44 equation:

Simplifying
4n * 3n + 2 = 44

Reorder the terms for easier multiplication:
4 * 3n * n + 2 = 44

Multiply 4 * 3
12n * n + 2 = 44

Multiply n * n
12n2 + 2 = 44

Reorder the terms:
2 + 12n2 = 44

Solving
2 + 12n2 = 44

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 12n2 = 44 + -2

Combine like terms: 2 + -2 = 0
0 + 12n2 = 44 + -2
12n2 = 44 + -2

Combine like terms: 44 + -2 = 42
12n2 = 42

Divide each side by '12'.
n2 = 3.5

Simplifying
n2 = 3.5

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