6.6x^2=4.1x

Solution for 6.6x^2=4.1x equation:

6.6x^2=4.1x

We move all terms to the left:

6.6x^2-(4.1x)=0

We add all the numbers together, and all the variables

6.6x^2-(+4.1x)=0

We get rid of parentheses

6.6x^2-4.1x=0

a = 6.6; b = -4.1; c = 0;
Δ = b2-4ac
Δ = -4.12-4·6.6·0
Δ = 16.81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4.1)-\sqrt{16.81}}{2*6.6}=\frac{4.1-\sqrt{16.81}}{13.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.1)+\sqrt{16.81}}{2*6.6}=\frac{4.1+\sqrt{16.81}}{13.2}
$