x(60-36x)=0

Solution for x(60-36x)=0 equation:

x(60-36x)=0

We add all the numbers together, and all the variables

x(-36x+60)=0

We multiply parentheses

-36x^2+60x=0

a = -36; b = 60; c = 0;
Δ = b2-4ac
Δ = 602-4·(-36)·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60}{2*-36}=\frac{-120}{-72}
=1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60}{2*-36}=\frac{0}{-72}
=0
$