m^2-11m-136=-10

Solution for m^2-11m-136=-10 equation:

m^2-11m-136=-10

We move all terms to the left:

m^2-11m-136-(-10)=0

We add all the numbers together, and all the variables

m^2-11m-126=0

a = 1; b = -11; c = -126;
Δ = b2-4ac
Δ = -112-4·1·(-126)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-25}{2*1}=\frac{-14}{2}
=-7
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+25}{2*1}=\frac{36}{2}
=18
$