30y^2-2=7y

Solution for 30y^2-2=7y equation:

30y^2-2=7y

We move all terms to the left:

30y^2-2-(7y)=0

a = 30; b = -7; c = -2;
Δ = b2-4ac
Δ = -72-4·30·(-2)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-17}{2*30}=\frac{-10}{60}
=-1/6
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+17}{2*30}=\frac{24}{60}
=2/5
$