19w-(-7w)-15w(-17w)=16

Solution for 19w-(-7w)-15w(-17w)=16 equation:

19w-(-7w)-15w(-17w)=16

We move all terms to the left:

19w-(-7w)-15w(-17w)-(16)=0

We multiply parentheses

255w^2+19w-(-7w)-16=0

We get rid of parentheses

255w^2+19w+7w-16=0

We add all the numbers together, and all the variables

255w^2+26w-16=0

a = 255; b = 26; c = -16;
Δ = b2-4ac
Δ = 262-4·255·(-16)
Δ = 16996
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{16996}=\sqrt{4*4249}=\sqrt{4}*\sqrt{4249}=2\sqrt{4249}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-2\sqrt{4249}}{2*255}=\frac{-26-2\sqrt{4249}}{510}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+2\sqrt{4249}}{2*255}=\frac{-26+2\sqrt{4249}}{510}
$