-3/5x-1/7x=910

Solution for -3/5x-1/7x=910 equation:

-3/5x-1/7x=910

We move all terms to the left:

-3/5x-1/7x-(910)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We calculate fractions


(-21x)/35x^2+(-5x)/35x^2-910=0

We multiply all the terms by the denominator


(-21x)+(-5x)-910*35x^2=0

Wy multiply elements

-31850x^2+(-21x)+(-5x)=0

We get rid of parentheses

-31850x^2-21x-5x=0

We add all the numbers together, and all the variables

-31850x^2-26x=0

a = -31850; b = -26; c = 0;
Δ = b2-4ac
Δ = -262-4·(-31850)·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-26}{2*-31850}=\frac{0}{-63700}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+26}{2*-31850}=\frac{52}{-63700}
=-1/1225
$