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

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

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

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

a = -5; b = 2; c = +16;
Δ = b2-4ac
Δ = 22-4·(-5)·16
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-18}{2*-5}=\frac{-20}{-10}
=+2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+18}{2*-5}=\frac{16}{-10}
=-1+3/5
$