(9y-14)(9y+14)-60=0

Solution for (9y-14)(9y+14)-60=0 equation:

(9y-14)(9y+14)-60=0

We use the square of the difference formula

81y^2-196-60=0

We add all the numbers together, and all the variables

81y^2-256=0

a = 81; b = 0; c = -256;
Δ = b2-4ac
Δ = 02-4·81·(-256)
Δ = 82944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{82944}=288$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288}{2*81}=\frac{-288}{162}
=-1+7/9
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288}{2*81}=\frac{288}{162}
=1+7/9
$