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

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

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

We add all the numbers together, and all the variables

(5w-8)(-1w+2)=0

We multiply parentheses ..

(-5w^2+10w+8w-16)=0

We get rid of parentheses

-5w^2+10w+8w-16=0

We add all the numbers together, and all the variables

-5w^2+18w-16=0

a = -5; b = 18; c = -16;
Δ = b2-4ac
Δ = 182-4·(-5)·(-16)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2}{2*-5}=\frac{-20}{-10}
=+2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2}{2*-5}=\frac{-16}{-10}
=1+3/5
$