7y2+5y=2

Solution for 7y2+5y=2 equation:

7y^2+5y=2

We move all terms to the left:

7y^2+5y-(2)=0

a = 7; b = 5; c = -2;
Δ = b2-4ac
Δ = 52-4·7·(-2)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-9}{2*7}=\frac{-14}{14}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+9}{2*7}=\frac{4}{14}
=2/7
$