-25x/45x=x

Solution for -25x/45x=x equation:

-25x/45x=x

We move all terms to the left:

-25x/45x-(x)=0


Domain of the equation: 45x!=0

x!=0/45

x!=0

x∈R


We add all the numbers together, and all the variables

-1x-25x/45x=0

We multiply all the terms by the denominator


-1x*45x-25x=0

We add all the numbers together, and all the variables

-25x-1x*45x=0

Wy multiply elements

-45x^2-25x=0

a = -45; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·(-45)·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*-45}=\frac{0}{-90}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*-45}=\frac{50}{-90}
=-5/9
$