X=5/12y

Solution for X=5/12y equation:

X=5/12X

We move all terms to the left:

X-(5/12X)=0


Domain of the equation: 12X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+5/12X)=0

We get rid of parentheses

X-5/12X=0

We multiply all the terms by the denominator


X*12X-5=0

Wy multiply elements

12X^2-5=0

a = 12; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·12·(-5)
Δ = 240
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:

$\sqrt{\Delta}=\sqrt{240}=\sqrt{16*15}=\sqrt{16}*\sqrt{15}=4\sqrt{15}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{15}}{2*12}=\frac{0-4\sqrt{15}}{24}
=-\frac{4\sqrt{15}}{24}
=-\frac{\sqrt{15}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{15}}{2*12}=\frac{0+4\sqrt{15}}{24}
=\frac{4\sqrt{15}}{24}
=\frac{\sqrt{15}}{6}
$