0=5x(x-8)

Solution for 0=5x(x-8) equation:

0=5x(x-8)

We move all terms to the left:

0-(5x(x-8))=0

We add all the numbers together, and all the variables

-(5x(x-8))=0


We calculate terms in parentheses: -(5x(x-8)), so:

5x(x-8)

We multiply parentheses

5x^2-40x

Back to the equation:

-(5x^2-40x)


We get rid of parentheses

-5x^2+40x=0

a = -5; b = 40; c = 0;
Δ = b2-4ac
Δ = 402-4·(-5)·0
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-40}{2*-5}=\frac{-80}{-10}
=+8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+40}{2*-5}=\frac{0}{-10}
=0
$