x=-0.6x^2+362x

Solution for x=-0.6x^2+362x equation:

x=-0.6x^2+362x

We move all terms to the left:

x-(-0.6x^2+362x)=0

We get rid of parentheses

0.6x^2-362x+x=0

We add all the numbers together, and all the variables

0.6x^2-361x=0

a = 0.6; b = -361; c = 0;
Δ = b2-4ac
Δ = -3612-4·0.6·0
Δ = 130321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{130321}=361$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-361)-361}{2*0.6}=\frac{0}{1.2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-361)+361}{2*0.6}=\frac{722}{1.2}
=601+0.8/1.2
$