5(w+7)(-w-6)=0

Solution for 5(w+7)(-w-6)=0 equation:

5(w+7)(-w-6)=0

We add all the numbers together, and all the variables

5(w+7)(-1w-6)=0

We multiply parentheses ..

5(-1w^2-6w-7w-42)=0

We multiply parentheses

-5w^2-30w-35w-210=0

We add all the numbers together, and all the variables

-5w^2-65w-210=0

a = -5; b = -65; c = -210;
Δ = b2-4ac
Δ = -652-4·(-5)·(-210)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-65)-5}{2*-5}=\frac{60}{-10}
=-6
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-65)+5}{2*-5}=\frac{70}{-10}
=-7
$