1/3*x+2/9*x=10

Solution for 1/3*x+2/9*x=10 equation:

1/3*x+2/9*x=10

We move all terms to the left:

1/3*x+2/9*x-(10)=0


Domain of the equation: 3*x!=0

x!=0/1

x!=0

x∈R



Domain of the equation: 9*x!=0

x!=0/1

x!=0

x∈R


We calculate fractions


9x^2/243x^2+6x^2/243x^2-10=0

We multiply all the terms by the denominator


9x^2+6x^2-10*243x^2=0

We add all the numbers together, and all the variables

15x^2-10*243x^2=0

Wy multiply elements

15x^2-2430x^2=0

We add all the numbers together, and all the variables

-2415x^2=0

a = -2415; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-2415)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-4830}=0$