x*(175/8)=250

Solution for x*(175/8)=250 equation:

x(175/8)=250

We move all terms to the left:

x(175/8)-(250)=0

We add all the numbers together, and all the variables

x(+175/8)-250=0

We multiply parentheses

175x^2-250=0

a = 175; b = 0; c = -250;
Δ = b2-4ac
Δ = 02-4·175·(-250)
Δ = 175000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{175000}=\sqrt{2500*70}=\sqrt{2500}*\sqrt{70}=50\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-50\sqrt{70}}{2*175}=\frac{0-50\sqrt{70}}{350}
=-\frac{50\sqrt{70}}{350}
=-\frac{\sqrt{70}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+50\sqrt{70}}{2*175}=\frac{0+50\sqrt{70}}{350}
=\frac{50\sqrt{70}}{350}
=\frac{\sqrt{70}}{7}
$