X=6.7/12.9y

Solution for X=6.7/12.9y equation:

X=6.7/12.9X

We move all terms to the left:

X-(6.7/12.9X)=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-(+6.7/12.9X)=0

We get rid of parentheses

X-6.7/12.9X=0

We multiply all the terms by the denominator


X*12.9X-6.7=0

Wy multiply elements

12X^2-6.7=0

a = 12; b = 0; c = -6.7;
Δ = b2-4ac
Δ = 02-4·12·(-6.7)
Δ = 321.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{321.6}}{2*12}=\frac{0-\sqrt{321.6}}{24}
=-\frac{\sqrt{}}{24}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{321.6}}{2*12}=\frac{0+\sqrt{321.6}}{24}
=\frac{\sqrt{}}{24}
$