7y+9+2y^2=360

Solution for 7y+9+2y^2=360 equation:

7y+9+2y^2=360

We move all terms to the left:

7y+9+2y^2-(360)=0

We add all the numbers together, and all the variables

2y^2+7y-351=0

a = 2; b = 7; c = -351;
Δ = b2-4ac
Δ = 72-4·2·(-351)
Δ = 2857
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{2857}}{2*2}=\frac{-7-\sqrt{2857}}{4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{2857}}{2*2}=\frac{-7+\sqrt{2857}}{4}
$