(2w-5)(w=8)=0

Solution for (2w-5)(w=8)=0 equation:

(2w-5)(w=8)=0

We move all terms to the left:

(2w-5)(w-(8))=0

We multiply parentheses ..

(+2w^2-16w-5w+40)=0

We get rid of parentheses

2w^2-16w-5w+40=0

We add all the numbers together, and all the variables

2w^2-21w+40=0

a = 2; b = -21; c = +40;
Δ = b2-4ac
Δ = -212-4·2·40
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-11}{2*2}=\frac{10}{4}
=2+1/2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+11}{2*2}=\frac{32}{4}
=8
$