30x^2+57x+18=0

Solution for 30x^2+57x+18=0 equation:

30x^2+57x+18=0

a = 30; b = 57; c = +18;
Δ = b2-4ac
Δ = 572-4·30·18
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(57)-33}{2*30}=\frac{-90}{60}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57)+33}{2*30}=\frac{-24}{60}
=-2/5
$