n^2+5m+6=0

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

Simplifying
n2 + 5m + 6 = 0

Reorder the terms:
6 + 5m + n2 = 0

Solving
6 + 5m + n2 = 0

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + 5m + -6 + n2 = 0 + -6

Reorder the terms:
6 + -6 + 5m + n2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5m + n2 = 0 + -6
5m + n2 = 0 + -6

Combine like terms: 0 + -6 = -6
5m + n2 = -6

Add '-1n2' to each side of the equation.
5m + n2 + -1n2 = -6 + -1n2

Combine like terms: n2 + -1n2 = 0
5m + 0 = -6 + -1n2
5m = -6 + -1n2

Divide each side by '5'.
m = -1.2 + -0.2n2

Simplifying
m = -1.2 + -0.2n2