760x(1-6x)=0

Solution for 760x(1-6x)=0 equation:

760x(1-6x)=0

We add all the numbers together, and all the variables

760x(-6x+1)=0

We multiply parentheses

-4560x^2+760x=0

a = -4560; b = 760; c = 0;
Δ = b2-4ac
Δ = 7602-4·(-4560)·0
Δ = 577600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{577600}=760$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(760)-760}{2*-4560}=\frac{-1520}{-9120}
=1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(760)+760}{2*-4560}=\frac{0}{-9120}
=0
$