6x/7x=9x/12x-4

Solution for 6x/7x=9x/12x-4 equation:

6x/7x=9x/12x-4

We move all terms to the left:

6x/7x-(9x/12x-4)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R



Domain of the equation: 12x-4)!=0

x∈R


We get rid of parentheses

6x/7x-9x/12x+4=0

We calculate fractions


(-63x^2)/84x^2+72x^2/84x^2+4=0

We multiply all the terms by the denominator


(-63x^2)+72x^2+4*84x^2=0

We add all the numbers together, and all the variables

72x^2+(-63x^2)+4*84x^2=0

Wy multiply elements

72x^2+(-63x^2)+336x^2=0

We get rid of parentheses

72x^2-63x^2+336x^2=0

We add all the numbers together, and all the variables

345x^2=0

a = 345; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·345·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{690}=0$