w=5.6.25.2/w-3.2

Solution for w=5.6.25.2/w-3.2 equation:

w=5.6.25.2/w-3.2

We move all terms to the left:

w-(5.6.25.2/w-3.2)=0


Domain of the equation: w-3.2)!=0

w∈R


We get rid of parentheses

w-5.6.25.2/w+3.2=0

We multiply all the terms by the denominator


w*w+(3.2)*w-5.6.25.2=0

We add all the numbers together, and all the variables

w*w+(3.2)*w-0.28=0

We multiply parentheses

w*w+3.2w-0.28=0

Wy multiply elements

w^2+3.2w-0.28=0

a = 1; b = 3.2; c = -0.28;
Δ = b2-4ac
Δ = 3.22-4·1·(-0.28)
Δ = 11.36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3.2)-\sqrt{11.36}}{2*1}=\frac{-3.2-\sqrt{11.36}}{2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.2)+\sqrt{11.36}}{2*1}=\frac{-3.2+\sqrt{11.36}}{2}
$