-3(w-1)(-w-8)=0

Solution for -3(w-1)(-w-8)=0 equation:

-3(w-1)(-w-8)=0

We add all the numbers together, and all the variables

-3(w-1)(-1w-8)=0

We multiply parentheses ..

-3(-1w^2-8w+w+8)=0

We multiply parentheses

3w^2+24w-3w-24=0

We add all the numbers together, and all the variables

3w^2+21w-24=0

a = 3; b = 21; c = -24;
Δ = b2-4ac
Δ = 212-4·3·(-24)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-27}{2*3}=\frac{-48}{6}
=-8
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+27}{2*3}=\frac{6}{6}
=1
$