-18x/26x=x

Solution for -18x/26x=x equation:

-18x/26x=x

We move all terms to the left:

-18x/26x-(x)=0


Domain of the equation: 26x!=0

x!=0/26

x!=0

x∈R


We add all the numbers together, and all the variables

-1x-18x/26x=0

We multiply all the terms by the denominator


-1x*26x-18x=0

We add all the numbers together, and all the variables

-18x-1x*26x=0

Wy multiply elements

-26x^2-18x=0

a = -26; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·(-26)·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*-26}=\frac{0}{-52}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*-26}=\frac{36}{-52}
=-9/13
$