0=660x(1-6x)

Solution for 0=660x(1-6x) equation:

0=660x(1-6x)

We move all terms to the left:

0-(660x(1-6x))=0

We add all the numbers together, and all the variables

-(660x(-6x+1))+0=0

We add all the numbers together, and all the variables

-(660x(-6x+1))=0


We calculate terms in parentheses: -(660x(-6x+1)), so:

660x(-6x+1)

We multiply parentheses

-3960x^2+660x

Back to the equation:

-(-3960x^2+660x)


We get rid of parentheses

3960x^2-660x=0

a = 3960; b = -660; c = 0;
Δ = b2-4ac
Δ = -6602-4·3960·0
Δ = 435600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{435600}=660$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-660)-660}{2*3960}=\frac{0}{7920}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-660)+660}{2*3960}=\frac{1320}{7920}
=1/6
$