b/4.8*b=8.09*b

Solution for b/4.8*b=8.09*b equation:

b/4.8b=8.09b

We move all terms to the left:

b/4.8b-(8.09b)=0


Domain of the equation: 4.8b!=0

b!=0/4.8

b!=0

b∈R


We add all the numbers together, and all the variables

b/4.8b-(+8.09b)=0

We get rid of parentheses

b/4.8b-8.09b=0

We multiply all the terms by the denominator


b-(8.09b)*4.8b=0

We add all the numbers together, and all the variables

b-(+8.09b)*4.8b=0

We multiply parentheses

-32b^2+b=0

a = -32; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-32)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-32}=\frac{-2}{-64}
=1/32
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-32}=\frac{0}{-64}
=0
$