594=(8w-34)(w)

Solution for 594=(8w-34)(w) equation:

594=(8w-34)(w)

We move all terms to the left:

594-((8w-34)(w))=0


We calculate terms in parentheses: -((8w-34)w), so:

(8w-34)w

We multiply parentheses

8w^2-34w

Back to the equation:

-(8w^2-34w)


We get rid of parentheses

-8w^2+34w+594=0

a = -8; b = 34; c = +594;
Δ = b2-4ac
Δ = 342-4·(-8)·594
Δ = 20164
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20164}=142$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-142}{2*-8}=\frac{-176}{-16}
=+11
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+142}{2*-8}=\frac{108}{-16}
=-6+3/4
$