2/x+2/4x=6/12

Solution for 2/x+2/4x=6/12 equation:

2/x+2/4x=6/12

We move all terms to the left:

2/x+2/4x-(6/12)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

2/x+2/4x-(+6/12)=0

We get rid of parentheses

2/x+2/4x-6/12=0

We calculate fractions


(-96x^2)/48x^2+96x/48x^2+24x/48x^2=0

We multiply all the terms by the denominator


(-96x^2)+96x+24x=0

We add all the numbers together, and all the variables

(-96x^2)+120x=0

We get rid of parentheses

-96x^2+120x=0

a = -96; b = 120; c = 0;
Δ = b2-4ac
Δ = 1202-4·(-96)·0
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-120}{2*-96}=\frac{-240}{-192}
=1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+120}{2*-96}=\frac{0}{-192}
=0
$