(9w+7)(8w+1)=0

Solution for (9w+7)(8w+1)=0 equation:

(9w+7)(8w+1)=0

We multiply parentheses ..

(+72w^2+9w+56w+7)=0

We get rid of parentheses

72w^2+9w+56w+7=0

We add all the numbers together, and all the variables

72w^2+65w+7=0

a = 72; b = 65; c = +7;
Δ = b2-4ac
Δ = 652-4·72·7
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(65)-47}{2*72}=\frac{-112}{144}
=-7/9
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(65)+47}{2*72}=\frac{-18}{144}
=-1/8
$