(y+14)(-4y-1)=0

Solution for (y+14)(-4y-1)=0 equation:

(y+14)(-4y-1)=0

We multiply parentheses ..

(-4y^2-1y-56y-14)=0

We get rid of parentheses

-4y^2-1y-56y-14=0

We add all the numbers together, and all the variables

-4y^2-57y-14=0

a = -4; b = -57; c = -14;
Δ = b2-4ac
Δ = -572-4·(-4)·(-14)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-57)-55}{2*-4}=\frac{2}{-8}
=-1/4
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57)+55}{2*-4}=\frac{112}{-8}
=-14
$