X(5x-80)=0

Solution for X(5x-80)=0 equation:

X(5X-80)=0

We multiply parentheses

5X^2-80X=0

a = 5; b = -80; c = 0;
Δ = b2-4ac
Δ = -802-4·5·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-80}{2*5}=\frac{0}{10}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+80}{2*5}=\frac{160}{10}
=16
$