25X=125/5x

Solution for 25X=125/5x equation:

25X=125/5X

We move all terms to the left:

25X-(125/5X)=0


Domain of the equation: 5X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

25X-(+125/5X)=0

We get rid of parentheses

25X-125/5X=0

We multiply all the terms by the denominator


25X*5X-125=0

Wy multiply elements

125X^2-125=0

a = 125; b = 0; c = -125;
Δ = b2-4ac
Δ = 02-4·125·(-125)
Δ = 62500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{62500}=250$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-250}{2*125}=\frac{-250}{250}
=-1
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+250}{2*125}=\frac{250}{250}
=1
$