11x^2=66x

Solution for 11x^2=66x equation:

11x^2=66x

We move all terms to the left:

11x^2-(66x)=0

a = 11; b = -66; c = 0;
Δ = b2-4ac
Δ = -662-4·11·0
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-66}{2*11}=\frac{0}{22}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+66}{2*11}=\frac{132}{22}
=6
$