255w=2000(-w/0.2)

Solution for 255w=2000(-w/0.2) equation:

255w=2000(-w/0.2)

We move all terms to the left:

255w-(2000(-w/0.2))=0

We multiply all the terms by the denominator


255w*0.2))-(2000(-w=0

We add all the numbers together, and all the variables

-1w+255w*0.2))-(2000(=0

Wy multiply elements

0w^2-1w=0

We add all the numbers together, and all the variables

w^2-1w=0

a = 1; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·1·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*1}=\frac{0}{2}
=0
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*1}=\frac{2}{2}
=1
$