5(y+6)(-y-8)=0

Solution for 5(y+6)(-y-8)=0 equation:

5(y+6)(-y-8)=0

We add all the numbers together, and all the variables

5(y+6)(-1y-8)=0

We multiply parentheses ..

5(-1y^2-8y-6y-48)=0

We multiply parentheses

-5y^2-40y-30y-240=0

We add all the numbers together, and all the variables

-5y^2-70y-240=0

a = -5; b = -70; c = -240;
Δ = b2-4ac
Δ = -702-4·(-5)·(-240)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-10}{2*-5}=\frac{60}{-10}
=-6
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+10}{2*-5}=\frac{80}{-10}
=-8
$