5/8x+35=5/17x

Solution for 5/8x+35=5/17x equation:

5/8x+35=5/17x

We move all terms to the left:

5/8x+35-(5/17x)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 17x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

5/8x-(+5/17x)+35=0

We get rid of parentheses

5/8x-5/17x+35=0

We calculate fractions


85x/136x^2+(-40x)/136x^2+35=0

We multiply all the terms by the denominator


85x+(-40x)+35*136x^2=0

Wy multiply elements

4760x^2+85x+(-40x)=0

We get rid of parentheses

4760x^2+85x-40x=0

We add all the numbers together, and all the variables

4760x^2+45x=0

a = 4760; b = 45; c = 0;
Δ = b2-4ac
Δ = 452-4·4760·0
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-45}{2*4760}=\frac{-90}{9520}
=-9/952
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+45}{2*4760}=\frac{0}{9520}
=0
$