2w^2-3w=170

Solution for 2w^2-3w=170 equation:

2w^2-3w=170

We move all terms to the left:

2w^2-3w-(170)=0

a = 2; b = -3; c = -170;
Δ = b2-4ac
Δ = -32-4·2·(-170)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-37}{2*2}=\frac{-34}{4}
=-8+1/2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+37}{2*2}=\frac{40}{4}
=10
$