11m^2-11m=6

Solution for 11m^2-11m=6 equation:

11m^2-11m=6

We move all terms to the left:

11m^2-11m-(6)=0

a = 11; b = -11; c = -6;
Δ = b2-4ac
Δ = -112-4·11·(-6)
Δ = 385
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{-(-11)-\sqrt{385}}{2*11}=\frac{11-\sqrt{385}}{22}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{385}}{2*11}=\frac{11+\sqrt{385}}{22}
$