m2-5m-5=6

Solution for m2-5m-5=6 equation:

m2-5m-5=6

We move all terms to the left:

m2-5m-5-(6)=0

We add all the numbers together, and all the variables

m^2-5m-11=0

a = 1; b = -5; c = -11;
Δ = b2-4ac
Δ = -52-4·1·(-11)
Δ = 69
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{69}}{2*1}=\frac{5-\sqrt{69}}{2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{69}}{2*1}=\frac{5+\sqrt{69}}{2}
$