(5w+6)(3w-1)=0

Solution for (5w+6)(3w-1)=0 equation:

(5w+6)(3w-1)=0

We multiply parentheses ..

(+15w^2-5w+18w-6)=0

We get rid of parentheses

15w^2-5w+18w-6=0

We add all the numbers together, and all the variables

15w^2+13w-6=0

a = 15; b = 13; c = -6;
Δ = b2-4ac
Δ = 132-4·15·(-6)
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-23}{2*15}=\frac{-36}{30}
=-1+1/5
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+23}{2*15}=\frac{10}{30}
=1/3
$