-2/1b+5.3=b-3.1b+5,3

Solution for -2/1b+5.3=b-3.1b+5,3 equation:

-2/1b+5.3=b-3.1b+5.3

We move all terms to the left:

-2/1b+5.3-(b-3.1b+5.3)=0


Domain of the equation: 1b!=0

b∈R


We add all the numbers together, and all the variables

-2/1b-(-2.1b+5.3)+5.3=0

We get rid of parentheses

-2/1b+2.1b-5.3+5.3=0

We multiply all the terms by the denominator


(2.1b)*1b-(5.3)*1b+(5.3)*1b-2=0

We add all the numbers together, and all the variables

(+2.1b)*1b-(5.3)*1b+(5.3)*1b-2=0

We multiply parentheses

2b^2-5.3b+5.3b-2=0

We add all the numbers together, and all the variables

2b^2-2=0

a = 2; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·2·(-2)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4}{2*2}=\frac{-4}{4}
=-1
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4}{2*2}=\frac{4}{4}
=1
$