1/6b+10+4/3b=5/6b-10

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Solution for 1/6b+10+4/3b=5/6b-10 equation: 



1/6b+10+4/3b=5/6b-10

We move all terms to the left:

1/6b+10+4/3b-(5/6b-10)=0



Domain of the equation: 6b!=0

b!=0/6

b!=0

b∈R





Domain of the equation: 3b!=0

b!=0/3

b!=0

b∈R





Domain of the equation: 6b-10)!=0

b∈R



We get rid of parentheses

1/6b+4/3b-5/6b+10+10=0

We calculate fractions


(-15b+1)/18b^2+24b/18b^2+10+10=0

We add all the numbers together, and all the variables

(-15b+1)/18b^2+24b/18b^2+20=0

We multiply all the terms by the denominator


(-15b+1)+24b+20*18b^2=0

We add all the numbers together, and all the variables

24b+(-15b+1)+20*18b^2=0

Wy multiply elements

360b^2+24b+(-15b+1)=0

We get rid of parentheses

360b^2+24b-15b+1=0

We add all the numbers together, and all the variables

360b^2+9b+1=0

a = 360; b = 9; c = +1;
Δ = b2-4ac
Δ = 92-4·360·1
Δ = -1359
Delta is less than zero, so there is no solution for the equation

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