(11w+8)(3w+9)=0

Solution for (11w+8)(3w+9)=0 equation:

(11w+8)(3w+9)=0

We multiply parentheses ..

(+33w^2+99w+24w+72)=0

We get rid of parentheses

33w^2+99w+24w+72=0

We add all the numbers together, and all the variables

33w^2+123w+72=0

a = 33; b = 123; c = +72;
Δ = b2-4ac
Δ = 1232-4·33·72
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(123)-75}{2*33}=\frac{-198}{66}
=-3
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(123)+75}{2*33}=\frac{-48}{66}
=-8/11
$