4-1/3a=7a+6

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Solution for 4-1/3a=7a+6 equation: 



4-1/3a=7a+6

We move all terms to the left:

4-1/3a-(7a+6)=0



Domain of the equation: 3a!=0

a!=0/3

a!=0

a∈R



We get rid of parentheses

-1/3a-7a-6+4=0

We multiply all the terms by the denominator


-7a*3a-6*3a+4*3a-1=0

Wy multiply elements

-21a^2-18a+12a-1=0

We add all the numbers together, and all the variables

-21a^2-6a-1=0

a = -21; b = -6; c = -1;
Δ = b2-4ac
Δ = -62-4·(-21)·(-1)
Δ = -48
Delta is less than zero, so there is no solution for the equation

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