360=2x^2+6x

Solution for 360=2x^2+6x equation:

360=2x^2+6x

We move all terms to the left:

360-(2x^2+6x)=0

We get rid of parentheses

-2x^2-6x+360=0

a = -2; b = -6; c = +360;
Δ = b2-4ac
Δ = -62-4·(-2)·360
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-54}{2*-2}=\frac{-48}{-4}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+54}{2*-2}=\frac{60}{-4}
=-15
$