1/3x+3/7x=34/88

Solution for 1/3x+3/7x=34/88 equation:

1/3x+3/7x=34/88

We move all terms to the left:

1/3x+3/7x-(34/88)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We add all the numbers together, and all the variables

1/3x+3/7x-(+34/88)=0

We get rid of parentheses

1/3x+3/7x-34/88=0

We calculate fractions


(-4998x^2)/14784x^2+4928x/14784x^2+6336x/14784x^2=0

We multiply all the terms by the denominator


(-4998x^2)+4928x+6336x=0

We add all the numbers together, and all the variables

(-4998x^2)+11264x=0

We get rid of parentheses

-4998x^2+11264x=0

a = -4998; b = 11264; c = 0;
Δ = b2-4ac
Δ = 112642-4·(-4998)·0
Δ = 126877696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{126877696}=11264$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11264)-11264}{2*-4998}=\frac{-22528}{-9996}
=2+634/2499
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11264)+11264}{2*-4998}=\frac{0}{-9996}
=0
$