6s-44=8(2+1/44s)

Solution for 6s-44=8(2+1/44s) equation:

6s-44=8(2+1/44s)

We move all terms to the left:

6s-44-(8(2+1/44s))=0


Domain of the equation: 44s))!=0

s!=0/1

s!=0

s∈R


We add all the numbers together, and all the variables

6s-(8(1/44s+2))-44=0

We multiply all the terms by the denominator


6s*44s-44*44s+2))-(8(1+2))=0

We add all the numbers together, and all the variables

6s*44s-44*44s+2))-(83)=0

We add all the numbers together, and all the variables

6s*44s-44*44s=0

Wy multiply elements

264s^2-1936s=0

a = 264; b = -1936; c = 0;
Δ = b2-4ac
Δ = -19362-4·264·0
Δ = 3748096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3748096}=1936$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1936)-1936}{2*264}=\frac{0}{528}
=0
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1936)+1936}{2*264}=\frac{3872}{528}
=7+1/3
$