B/2b-(6+6b)=-2/7

Solution for B/2b-(6+6b)=-2/7 equation:

/2B-(6+6B)=-2/7

We move all terms to the left:

/2B-(6+6B)-(-2/7)=0


Domain of the equation: 2B!=0

B!=0/2

B!=0

B∈R


We add all the numbers together, and all the variables

/2B-(6B+6)-(-2/7)=0

We get rid of parentheses

/2B-6B-6+2/7=0

We calculate fractions


-6B+()/14B+4B/14B-6=0

We multiply all the terms by the denominator


-6B*14B+4B-6*14B+()=0

We add all the numbers together, and all the variables

4B-6B*14B-6*14B=0

Wy multiply elements

-84B^2+4B-84B=0

We add all the numbers together, and all the variables

-84B^2-80B=0

a = -84; b = -80; c = 0;
Δ = b2-4ac
Δ = -802-4·(-84)·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$B_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$B_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$B_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-80}{2*-84}=\frac{0}{-168}
=0
$
$B_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+80}{2*-84}=\frac{160}{-168}
=-20/21
$