x-25=2/5x

Solution for x-25=2/5x equation:

x-25=2/5x

We move all terms to the left:

x-25-(2/5x)=0


Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(+2/5x)-25=0

We get rid of parentheses

x-2/5x-25=0

We multiply all the terms by the denominator


x*5x-25*5x-2=0

Wy multiply elements

5x^2-125x-2=0

a = 5; b = -125; c = -2;
Δ = b2-4ac
Δ = -1252-4·5·(-2)
Δ = 15665
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-125)-\sqrt{15665}}{2*5}=\frac{125-\sqrt{15665}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-125)+\sqrt{15665}}{2*5}=\frac{125+\sqrt{15665}}{10}
$