28-2.2b=11/6b-54.8

Solution for 28-2.2b=11/6b-54.8 equation:

28-2.2b=11/6b-54.8

We move all terms to the left:

28-2.2b-(11/6b-54.8)=0


Domain of the equation: 6b-54.8)!=0

b∈R


We get rid of parentheses

-2.2b-11/6b+54.8+28=0

We multiply all the terms by the denominator


-(2.2b)*6b+(54.8)*6b+28*6b-11=0

We add all the numbers together, and all the variables

-(+2.2b)*6b+(54.8)*6b+28*6b-11=0

We multiply parentheses

-12b^2+328.8b+28*6b-11=0

Wy multiply elements

-12b^2+328.8b+168b-11=0

We add all the numbers together, and all the variables

-12b^2+496.8b-11=0

a = -12; b = 496.8; c = -11;
Δ = b2-4ac
Δ = 496.82-4·(-12)·(-11)
Δ = 246282.24
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(496.8)-\sqrt{246282.24}}{2*-12}=\frac{-496.8-\sqrt{246282.24}}{-24}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(496.8)+\sqrt{246282.24}}{2*-12}=\frac{-496.8+\sqrt{246282.24}}{-24}
$