(3w+7)(2+w)=0

Solution for (3w+7)(2+w)=0 equation:

(3w+7)(2+w)=0

We add all the numbers together, and all the variables

(3w+7)(w+2)=0

We multiply parentheses ..

(+3w^2+6w+7w+14)=0

We get rid of parentheses

3w^2+6w+7w+14=0

We add all the numbers together, and all the variables

3w^2+13w+14=0

a = 3; b = 13; c = +14;
Δ = b2-4ac
Δ = 132-4·3·14
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-1}{2*3}=\frac{-14}{6}
=-2+1/3
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+1}{2*3}=\frac{-12}{6}
=-2
$