5/6b=2-11/12b

Solution for 5/6b=2-11/12b equation:

5/6b=2-11/12b

We move all terms to the left:

5/6b-(2-11/12b)=0


Domain of the equation: 6b!=0

b!=0/6

b!=0

b∈R



Domain of the equation: 12b)!=0

b!=0/1

b!=0

b∈R


We add all the numbers together, and all the variables

5/6b-(-11/12b+2)=0

We get rid of parentheses

5/6b+11/12b-2=0

We calculate fractions


60b/72b^2+66b/72b^2-2=0

We multiply all the terms by the denominator


60b+66b-2*72b^2=0

We add all the numbers together, and all the variables

126b-2*72b^2=0

Wy multiply elements

-144b^2+126b=0

a = -144; b = 126; c = 0;
Δ = b2-4ac
Δ = 1262-4·(-144)·0
Δ = 15876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15876}=126$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(126)-126}{2*-144}=\frac{-252}{-288}
=7/8
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(126)+126}{2*-144}=\frac{0}{-288}
=0
$