-2/3x-3=-7-6/9x

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Solution for -2/3x-3=-7-6/9x equation: 



-2/3x-3=-7-6/9x

We move all terms to the left:

-2/3x-3-(-7-6/9x)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: 9x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

-2/3x-(-6/9x-7)-3=0

We get rid of parentheses

-2/3x+6/9x+7-3=0

We calculate fractions


(-18x)/27x^2+18x/27x^2+7-3=0

We add all the numbers together, and all the variables

(-18x)/27x^2+18x/27x^2+4=0

We multiply all the terms by the denominator


(-18x)+18x+4*27x^2=0

We add all the numbers together, and all the variables

18x+(-18x)+4*27x^2=0

Wy multiply elements

108x^2+18x+(-18x)=0

We get rid of parentheses

108x^2+18x-18x=0

We add all the numbers together, and all the variables

108x^2=0

a = 108; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·108·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{216}=0$

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