X=y/7;y

Solution for X=y/7;y equation:

X=X/7X

We move all terms to the left:

X-(X/7X)=0


Domain of the equation: 7X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+X/7X)=0

We get rid of parentheses

X-X/7X=0

We multiply all the terms by the denominator


X*7X-X=0

We add all the numbers together, and all the variables

-1X+X*7X=0

Wy multiply elements

7X^2-1X=0

a = 7; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·7·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*7}=\frac{0}{14}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*7}=\frac{2}{14}
=1/7
$