(6-w)(3w-2)=0

Solution for (6-w)(3w-2)=0 equation:

(6-w)(3w-2)=0

We add all the numbers together, and all the variables

(-1w+6)(3w-2)=0

We multiply parentheses ..

(-3w^2+2w+18w-12)=0

We get rid of parentheses

-3w^2+2w+18w-12=0

We add all the numbers together, and all the variables

-3w^2+20w-12=0

a = -3; b = 20; c = -12;
Δ = b2-4ac
Δ = 202-4·(-3)·(-12)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-16}{2*-3}=\frac{-36}{-6}
=+6
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+16}{2*-3}=\frac{-4}{-6}
=2/3
$