780x(1-6x)=0

Solution for 780x(1-6x)=0 equation:

780x(1-6x)=0

We add all the numbers together, and all the variables

780x(-6x+1)=0

We multiply parentheses

-4680x^2+780x=0

a = -4680; b = 780; c = 0;
Δ = b2-4ac
Δ = 7802-4·(-4680)·0
Δ = 608400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{608400}=780$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(780)-780}{2*-4680}=\frac{-1560}{-9360}
=1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(780)+780}{2*-4680}=\frac{0}{-9360}
=0
$