X/5XxX-1/5X-1=6/155

Solution for X/5XxX-1/5X-1=6/155 equation:

X/5XXX-1/5X-1=6/155

We move all terms to the left:

X/5XXX-1/5X-1-(6/155)=0


Domain of the equation: 5XXX!=0

X!=0/1

X!=0

X∈R



Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We add all the numbers together, and all the variables

X/5XXX-1/5X-1-(+6/155)=0

We get rid of parentheses

X/5XXX-1/5X-1-6/155=0

We calculate fractions


(-750X^2)/3875X^2+775X^2/3875X^2+(-775X)/3875X^2-1=0

We multiply all the terms by the denominator


(-750X^2)+775X^2+(-775X)-1*3875X^2=0

We add all the numbers together, and all the variables

775X^2+(-750X^2)+(-775X)-1*3875X^2=0

Wy multiply elements

775X^2+(-750X^2)-3875X^2+(-775X)=0

We get rid of parentheses

775X^2-750X^2-3875X^2-775X=0

We add all the numbers together, and all the variables

-3850X^2-775X=0

a = -3850; b = -775; c = 0;
Δ = b2-4ac
Δ = -7752-4·(-3850)·0
Δ = 600625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{600625}=775$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-775)-775}{2*-3850}=\frac{0}{-7700}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-775)+775}{2*-3850}=\frac{1550}{-7700}
=-31/154
$