14y(4y-15)=180

Solution for 14y(4y-15)=180 equation:

14y(4y-15)=180

We move all terms to the left:

14y(4y-15)-(180)=0

We multiply parentheses

56y^2-210y-180=0

a = 56; b = -210; c = -180;
Δ = b2-4ac
Δ = -2102-4·56·(-180)
Δ = 84420
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:

$\sqrt{\Delta}=\sqrt{84420}=\sqrt{36*2345}=\sqrt{36}*\sqrt{2345}=6\sqrt{2345}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-210)-6\sqrt{2345}}{2*56}=\frac{210-6\sqrt{2345}}{112}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-210)+6\sqrt{2345}}{2*56}=\frac{210+6\sqrt{2345}}{112}
$