-11x^2=121x

Solution for -11x^2=121x equation:

-11x^2=121x

We move all terms to the left:

-11x^2-(121x)=0

a = -11; b = -121; c = 0;
Δ = b2-4ac
Δ = -1212-4·(-11)·0
Δ = 14641
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14641}=121$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-121)-121}{2*-11}=\frac{0}{-22}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-121)+121}{2*-11}=\frac{242}{-22}
=-11
$