30x^2+900x+1800=0

Solution for 30x^2+900x+1800=0 equation:

30x^2+900x+1800=0

a = 30; b = 900; c = +1800;
Δ = b2-4ac
Δ = 9002-4·30·1800
Δ = 594000
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:

$\sqrt{\Delta}=\sqrt{594000}=\sqrt{3600*165}=\sqrt{3600}*\sqrt{165}=60\sqrt{165}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(900)-60\sqrt{165}}{2*30}=\frac{-900-60\sqrt{165}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(900)+60\sqrt{165}}{2*30}=\frac{-900+60\sqrt{165}}{60}
$