(3+w)(5w-9)=0

Solution for (3+w)(5w-9)=0 equation:

(3+w)(5w-9)=0

We add all the numbers together, and all the variables

(w+3)(5w-9)=0

We multiply parentheses ..

(+5w^2-9w+15w-27)=0

We get rid of parentheses

5w^2-9w+15w-27=0

We add all the numbers together, and all the variables

5w^2+6w-27=0

a = 5; b = 6; c = -27;
Δ = b2-4ac
Δ = 62-4·5·(-27)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-24}{2*5}=\frac{-30}{10}
=-3
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+24}{2*5}=\frac{18}{10}
=1+4/5
$