(6+w)(5w+9)=0

Solution for (6+w)(5w+9)=0 equation:

(6+w)(5w+9)=0

We add all the numbers together, and all the variables

(w+6)(5w+9)=0

We multiply parentheses ..

(+5w^2+9w+30w+54)=0

We get rid of parentheses

5w^2+9w+30w+54=0

We add all the numbers together, and all the variables

5w^2+39w+54=0

a = 5; b = 39; c = +54;
Δ = b2-4ac
Δ = 392-4·5·54
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(39)-21}{2*5}=\frac{-60}{10}
=-6
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39)+21}{2*5}=\frac{-18}{10}
=-1+4/5
$