X=13457876754334566777655+-1257x/x=x

Solution for X=13457876754334566777655+-1257x/x=x equation:

X=13457876754334566777655+-1257X/X=X

We move all terms to the left:

X-(13457876754334566777655+-1257X/X)=0


Domain of the equation: X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(-1257X/X)=0

We get rid of parentheses

X+1257X/X=0

We multiply all the terms by the denominator


X*X+1257X=0

We add all the numbers together, and all the variables

1257X+X*X=0

Wy multiply elements

X^2+1257X=0

a = 1; b = 1257; c = 0;
Δ = b2-4ac
Δ = 12572-4·1·0
Δ = 1580049
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1580049}=1257$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1257)-1257}{2*1}=\frac{-2514}{2}
=-1257
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1257)+1257}{2*1}=\frac{0}{2}
=0
$