2y2-150y=60

Solution for 2y2-150y=60 equation:

2y^2-150y=60

We move all terms to the left:

2y^2-150y-(60)=0

a = 2; b = -150; c = -60;
Δ = b2-4ac
Δ = -1502-4·2·(-60)
Δ = 22980
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:

$\sqrt{\Delta}=\sqrt{22980}=\sqrt{4*5745}=\sqrt{4}*\sqrt{5745}=2\sqrt{5745}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-2\sqrt{5745}}{2*2}=\frac{150-2\sqrt{5745}}{4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+2\sqrt{5745}}{2*2}=\frac{150+2\sqrt{5745}}{4}
$