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

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

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

(-3w^2+9w-2w+6)=0

We get rid of parentheses

-3w^2+9w-2w+6=0

We add all the numbers together, and all the variables

-3w^2+7w+6=0

a = -3; b = 7; c = +6;
Δ = b2-4ac
Δ = 72-4·(-3)·6
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-11}{2*-3}=\frac{-18}{-6}
=+3
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+11}{2*-3}=\frac{4}{-6}
=-2/3
$