3y^2-60y-175=0

Solution for 3y^2-60y-175=0 equation:

3y^2-60y-175=0

a = 3; b = -60; c = -175;
Δ = b2-4ac
Δ = -602-4·3·(-175)
Δ = 5700
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:

$\sqrt{\Delta}=\sqrt{5700}=\sqrt{100*57}=\sqrt{100}*\sqrt{57}=10\sqrt{57}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-10\sqrt{57}}{2*3}=\frac{60-10\sqrt{57}}{6}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+10\sqrt{57}}{2*3}=\frac{60+10\sqrt{57}}{6}
$