2b/5b-1b/4b=3

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Solution for 2b/5b-1b/4b=3 equation:



2b/5b-1b/4b=3
We move all terms to the left:
2b/5b-1b/4b-(3)=0
Domain of the equation: 5b!=0
b!=0/5
b!=0
b∈R
Domain of the equation: 4b!=0
b!=0/4
b!=0
b∈R
We calculate fractions
(-5b^2)/20b^2+8b^2/20b^2-3=0
We multiply all the terms by the denominator
(-5b^2)+8b^2-3*20b^2=0
We add all the numbers together, and all the variables
8b^2+(-5b^2)-3*20b^2=0
Wy multiply elements
8b^2+(-5b^2)-60b^2=0
We get rid of parentheses
8b^2-5b^2-60b^2=0
We add all the numbers together, and all the variables
-57b^2=0
a = -57; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-57)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$b=\frac{-b}{2a}=\frac{0}{-114}=0$

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