You can put this solution on YOUR website! m^2 + 81 = -18m
Move everything to one side: m^2 + 18 m + 81
= (m + 9)(m + 9) <-- This is a quadratic equation.
m = -9
This solution is called a double root or a root of multiplicity 2.
You also posted another quadratic equation, try that one yourself from this example.