360x=3x2

Solution for 360x=3x2 equation:

360x=3x^2

We move all terms to the left:

360x-(3x^2)=0

determiningTheFunctionDomain
-3x^2+360x=0

a = -3; b = 360; c = 0;
Δ = b2-4ac
Δ = 3602-4·(-3)·0
Δ = 129600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{129600}=360$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(360)-360}{2*-3}=\frac{-720}{-6}
=+120
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(360)+360}{2*-3}=\frac{0}{-6}
=0
$