w+w(2)+2=34

Solution for w+w(2)+2=34 equation:

w+w(2)+2=34

We move all terms to the left:

w+w(2)+2-(34)=0

We add all the numbers together, and all the variables

w^2+w-32=0

a = 1; b = 1; c = -32;
Δ = b2-4ac
Δ = 12-4·1·(-32)
Δ = 129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{129}}{2*1}=\frac{-1-\sqrt{129}}{2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{129}}{2*1}=\frac{-1+\sqrt{129}}{2}
$