X=1290000/12.9x

Solution for X=1290000/12.9x equation:

X=1290000/12.9X

We move all terms to the left:

X-(1290000/12.9X)=0


Domain of the equation: 12.9X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+1290000/12.9X)=0

We get rid of parentheses

X-1290000/12.9X=0

We multiply all the terms by the denominator


X*12.9X-1290000=0

Wy multiply elements

12X^2-1290000=0

a = 12; b = 0; c = -1290000;
Δ = b2-4ac
Δ = 02-4·12·(-1290000)
Δ = 61920000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{61920000}=\sqrt{1440000*43}=\sqrt{1440000}*\sqrt{43}=1200\sqrt{43}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1200\sqrt{43}}{2*12}=\frac{0-1200\sqrt{43}}{24}
=-\frac{1200\sqrt{43}}{24}
=-50\sqrt{43}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1200\sqrt{43}}{2*12}=\frac{0+1200\sqrt{43}}{24}
=\frac{1200\sqrt{43}}{24}
=50\sqrt{43}
$