7n*n-39-18=0

Solution for 7n*n-39-18=0 equation:

Simplifying
7n * n + -39 + -18 = 0

Multiply n * n
7n2 + -39 + -18 = 0

Reorder the terms:
-39 + -18 + 7n2 = 0

Combine like terms: -39 + -18 = -57
-57 + 7n2 = 0

Solving
-57 + 7n2 = 0

Solving for variable 'n'.

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

Add '57' to each side of the equation.
-57 + 57 + 7n2 = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 7n2 = 0 + 57
7n2 = 0 + 57

Combine like terms: 0 + 57 = 57
7n2 = 57

Divide each side by '7'.
n2 = 8.142857143

Simplifying
n2 = 8.142857143

Take the square root of each side:
n = {-2.853569194, 2.853569194}