3/3b-6=7/7b+2

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Solution for 3/3b-6=7/7b+2 equation:



3/3b-6=7/7b+2
We move all terms to the left:
3/3b-6-(7/7b+2)=0
Domain of the equation: 3b!=0
b!=0/3
b!=0
b∈R
Domain of the equation: 7b+2)!=0
b∈R
We get rid of parentheses
3/3b-7/7b-2-6=0
We calculate fractions
21b/21b^2+(-21b)/21b^2-2-6=0
We add all the numbers together, and all the variables
21b/21b^2+(-21b)/21b^2-8=0
We multiply all the terms by the denominator
21b+(-21b)-8*21b^2=0
Wy multiply elements
-168b^2+21b+(-21b)=0
We get rid of parentheses
-168b^2+21b-21b=0
We add all the numbers together, and all the variables
-168b^2=0
a = -168; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-168)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$b=\frac{-b}{2a}=\frac{0}{-336}=0$

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