15y^2-45y-50=0

Solution for 15y^2-45y-50=0 equation:

15y^2-45y-50=0

a = 15; b = -45; c = -50;
Δ = b2-4ac
Δ = -452-4·15·(-50)
Δ = 5025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5025}=\sqrt{25*201}=\sqrt{25}*\sqrt{201}=5\sqrt{201}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-5\sqrt{201}}{2*15}=\frac{45-5\sqrt{201}}{30}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+5\sqrt{201}}{2*15}=\frac{45+5\sqrt{201}}{30}
$