x^2+5n+6=0

Solution for x^2+5n+6=0 equation:

Simplifying
x2 + 5n + 6 = 0

Reorder the terms:
6 + 5n + x2 = 0

Solving
6 + 5n + x2 = 0

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + 5n + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 5n + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5n + x2 = 0 + -6
5n + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
5n + x2 = -6

Add '-1x2' to each side of the equation.
5n + x2 + -1x2 = -6 + -1x2

Combine like terms: x2 + -1x2 = 0
5n + 0 = -6 + -1x2
5n = -6 + -1x2

Divide each side by '5'.
n = -1.2 + -0.2x2

Simplifying
n = -1.2 + -0.2x2