-25x^2-155x+306=0

Solution for -25x^2-155x+306=0 equation:

-25x^2-155x+306=0

a = -25; b = -155; c = +306;
Δ = b2-4ac
Δ = -1552-4·(-25)·306
Δ = 54625
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:

$\sqrt{\Delta}=\sqrt{54625}=\sqrt{25*2185}=\sqrt{25}*\sqrt{2185}=5\sqrt{2185}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-155)-5\sqrt{2185}}{2*-25}=\frac{155-5\sqrt{2185}}{-50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-155)+5\sqrt{2185}}{2*-25}=\frac{155+5\sqrt{2185}}{-50}
$