(4w-2)(8-w)=0

Solution for (4w-2)(8-w)=0 equation:

(4w-2)(8-w)=0

We add all the numbers together, and all the variables

(4w-2)(-1w+8)=0

We multiply parentheses ..

(-4w^2+32w+2w-16)=0

We get rid of parentheses

-4w^2+32w+2w-16=0

We add all the numbers together, and all the variables

-4w^2+34w-16=0

a = -4; b = 34; c = -16;
Δ = b2-4ac
Δ = 342-4·(-4)·(-16)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-30}{2*-4}=\frac{-64}{-8}
=+8
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+30}{2*-4}=\frac{-4}{-8}
=1/2
$