-2/x+3/14x=25

Solution for -2/x+3/14x=25 equation:

-2/x+3/14x=25

We move all terms to the left:

-2/x+3/14x-(25)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 14x!=0

x!=0/14

x!=0

x∈R


We calculate fractions


(-28x)/14x^2+3x/14x^2-25=0

We multiply all the terms by the denominator


(-28x)+3x-25*14x^2=0

We add all the numbers together, and all the variables

3x+(-28x)-25*14x^2=0

Wy multiply elements

-350x^2+3x+(-28x)=0

We get rid of parentheses

-350x^2+3x-28x=0

We add all the numbers together, and all the variables

-350x^2-25x=0

a = -350; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·(-350)·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*-350}=\frac{0}{-700}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*-350}=\frac{50}{-700}
=-1/14
$