(2w-3)*w=119

Solution for (2w-3)*w=119 equation:

(2w-3)*w=119

We move all terms to the left:

(2w-3)*w-(119)=0

We multiply parentheses

2w^2-3w-119=0

a = 2; b = -3; c = -119;
Δ = b2-4ac
Δ = -32-4·2·(-119)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-31}{2*2}=\frac{-28}{4}
=-7
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+31}{2*2}=\frac{34}{4}
=8+1/2
$