15y^2-45y-150=0

Solution for 15y^2-45y-150=0 equation:

15y^2-45y-150=0

a = 15; b = -45; c = -150;
Δ = b2-4ac
Δ = -452-4·15·(-150)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-105}{2*15}=\frac{-60}{30}
=-2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+105}{2*15}=\frac{150}{30}
=5
$