2/x-14=2/2x

Solution for 2/x-14=2/2x equation:

2/x-14=2/2x

We move all terms to the left:

2/x-14-(2/2x)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2/x-(+2/2x)-14=0

We get rid of parentheses

2/x-2/2x-14=0

We calculate fractions


4x/2x^2+(-2x)/2x^2-14=0

We multiply all the terms by the denominator


4x+(-2x)-14*2x^2=0

Wy multiply elements

-28x^2+4x+(-2x)=0

We get rid of parentheses

-28x^2+4x-2x=0

We add all the numbers together, and all the variables

-28x^2+2x=0

a = -28; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-28)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-28}=\frac{-4}{-56}
=1/14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-28}=\frac{0}{-56}
=0
$