0=8x-1.5x^2

Solution for 0=8x-1.5x^2 equation:

0=8x-1.5x^2

We move all terms to the left:

0-(8x-1.5x^2)=0

We add all the numbers together, and all the variables

-(8x-1.5x^2)=0

We get rid of parentheses

1.5x^2-8x=0

a = 1.5; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·1.5·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*1.5}=\frac{0}{3}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*1.5}=\frac{16}{3}
=5+1/3
$