(175/x)x=175

Solution for (175/x)x=175 equation:

(175/x)x=175

We move all terms to the left:

(175/x)x-(175)=0


Domain of the equation: x)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+175/x)x-175=0

We multiply parentheses

175x^2-175=0

a = 175; b = 0; c = -175;
Δ = b2-4ac
Δ = 02-4·175·(-175)
Δ = 122500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{122500}=350$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-350}{2*175}=\frac{-350}{350}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+350}{2*175}=\frac{350}{350}
=1
$