2/14x+1/2x=44

Solution for 2/14x+1/2x=44 equation:

2/14x+1/2x=44

We move all terms to the left:

2/14x+1/2x-(44)=0


Domain of the equation: 14x!=0

x!=0/14

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We calculate fractions


4x/28x^2+14x/28x^2-44=0

We multiply all the terms by the denominator


4x+14x-44*28x^2=0

We add all the numbers together, and all the variables

18x-44*28x^2=0

Wy multiply elements

-1232x^2+18x=0

a = -1232; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·(-1232)·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*-1232}=\frac{-36}{-2464}
=9/616
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*-1232}=\frac{0}{-2464}
=0
$