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

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

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

(+5w^2+45w+6w+54)=0

We get rid of parentheses

5w^2+45w+6w+54=0

We add all the numbers together, and all the variables

5w^2+51w+54=0

a = 5; b = 51; c = +54;
Δ = b2-4ac
Δ = 512-4·5·54
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(51)-39}{2*5}=\frac{-90}{10}
=-9
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(51)+39}{2*5}=\frac{-12}{10}
=-1+1/5
$