-3/5x+3/35x=18

Solution for -3/5x+3/35x=18 equation:

-3/5x+3/35x=18

We move all terms to the left:

-3/5x+3/35x-(18)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



Domain of the equation: 35x!=0

x!=0/35

x!=0

x∈R


We calculate fractions


(-105x)/175x^2+15x/175x^2-18=0

We multiply all the terms by the denominator


(-105x)+15x-18*175x^2=0

We add all the numbers together, and all the variables

15x+(-105x)-18*175x^2=0

Wy multiply elements

-3150x^2+15x+(-105x)=0

We get rid of parentheses

-3150x^2+15x-105x=0

We add all the numbers together, and all the variables

-3150x^2-90x=0

a = -3150; b = -90; c = 0;
Δ = b2-4ac
Δ = -902-4·(-3150)·0
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-90}{2*-3150}=\frac{0}{-6300}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+90}{2*-3150}=\frac{180}{-6300}
=-1/35
$