0=-0.8x^2+48x-360

Solution for 0=-0.8x^2+48x-360 equation:

0=-0.8x^2+48x-360

We move all terms to the left:

0-(-0.8x^2+48x-360)=0

We add all the numbers together, and all the variables

-(-0.8x^2+48x-360)=0

We get rid of parentheses

0.8x^2-48x+360=0

a = 0.8; b = -48; c = +360;
Δ = b2-4ac
Δ = -482-4·0.8·360
Δ = 1152
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1152}=\sqrt{576*2}=\sqrt{576}*\sqrt{2}=24\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-24\sqrt{2}}{2*0.8}=\frac{48-24\sqrt{2}}{1.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+24\sqrt{2}}{2*0.8}=\frac{48+24\sqrt{2}}{1.6}
$