25x=4/100.25x

Solution for 25x=4/100.25x equation:

25x=4/100.25x

We move all terms to the left:

25x-(4/100.25x)=0


Domain of the equation: 100.25x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

25x-(+4/100.25x)=0

We get rid of parentheses

25x-4/100.25x=0

We multiply all the terms by the denominator


25x*100.25x-4=0

Wy multiply elements

2500x^2-4=0

a = 2500; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·2500·(-4)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*2500}=\frac{-200}{5000}
=-1/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*2500}=\frac{200}{5000}
=1/25
$