125x=25/5x

Solution for 125x=25/5x equation:

125x=25/5x

We move all terms to the left:

125x-(25/5x)=0


Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

125x-25/5x=0

We multiply all the terms by the denominator


125x*5x-25=0

Wy multiply elements

625x^2-25=0

a = 625; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·625·(-25)
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*625}=\frac{-250}{1250}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+250}{2*625}=\frac{250}{1250}
=1/5
$