y(y-1)(y+1)=3360

Solution for y(y-1)(y+1)=3360 equation:

y(y-1)(y+1)=3360

We move all terms to the left:

y(y-1)(y+1)-(3360)=0

We use the square of the difference formula

y^2-1-3360=0

We add all the numbers together, and all the variables

y^2-3361=0

a = 1; b = 0; c = -3361;
Δ = b2-4ac
Δ = 02-4·1·(-3361)
Δ = 13444
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:

$\sqrt{\Delta}=\sqrt{13444}=\sqrt{4*3361}=\sqrt{4}*\sqrt{3361}=2\sqrt{3361}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{3361}}{2*1}=\frac{0-2\sqrt{3361}}{2}
=-\frac{2\sqrt{3361}}{2}
=-\sqrt{3361}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{3361}}{2*1}=\frac{0+2\sqrt{3361}}{2}
=\frac{2\sqrt{3361}}{2}
=\sqrt{3361}
$