18x^2+114x-30=0

Solution for 18x^2+114x-30=0 equation:

18x^2+114x-30=0

a = 18; b = 114; c = -30;
Δ = b2-4ac
Δ = 1142-4·18·(-30)
Δ = 15156
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:

$\sqrt{\Delta}=\sqrt{15156}=\sqrt{36*421}=\sqrt{36}*\sqrt{421}=6\sqrt{421}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(114)-6\sqrt{421}}{2*18}=\frac{-114-6\sqrt{421}}{36}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(114)+6\sqrt{421}}{2*18}=\frac{-114+6\sqrt{421}}{36}
$