(9y+7)(2y+98)=360

Solution for (9y+7)(2y+98)=360 equation:

(9y+7)(2y+98)=360

We move all terms to the left:

(9y+7)(2y+98)-(360)=0

We multiply parentheses ..

(+18y^2+882y+14y+686)-360=0

We get rid of parentheses

18y^2+882y+14y+686-360=0

We add all the numbers together, and all the variables

18y^2+896y+326=0

a = 18; b = 896; c = +326;
Δ = b2-4ac
Δ = 8962-4·18·326
Δ = 779344
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:

$\sqrt{\Delta}=\sqrt{779344}=\sqrt{16*48709}=\sqrt{16}*\sqrt{48709}=4\sqrt{48709}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(896)-4\sqrt{48709}}{2*18}=\frac{-896-4\sqrt{48709}}{36}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(896)+4\sqrt{48709}}{2*18}=\frac{-896+4\sqrt{48709}}{36}
$