5/x-2=13/2x-13

Simple and best practice solution for 5/x-2=13/2x-13 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 5/x-2=13/2x-13 equation:



5/x-2=13/2x-13
We move all terms to the left:
5/x-2-(13/2x-13)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: 2x-13)!=0
x∈R
We get rid of parentheses
5/x-13/2x+13-2=0
We calculate fractions
10x/2x^2+(-13x)/2x^2+13-2=0
We add all the numbers together, and all the variables
10x/2x^2+(-13x)/2x^2+11=0
We multiply all the terms by the denominator
10x+(-13x)+11*2x^2=0
Wy multiply elements
22x^2+10x+(-13x)=0
We get rid of parentheses
22x^2+10x-13x=0
We add all the numbers together, and all the variables
22x^2-3x=0
a = 22; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·22·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*22}=\frac{0}{44} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*22}=\frac{6}{44} =3/22 $

See similar equations:

| X2-45x-4050=0 | | 4n−2n=4 | | 4(5+2x)-5=3(3x=7) | | 0.05(228−x)+0.07x=48 | | 7-5x-5=-18 | | 2x/3-4x/2=7 | | 3(x)-0.9=-4 | | -3(5k-4)=28+9k | | -8x+2x=0 | | 2(s1+3)=s1(4s-5) | | (x-2)²+(x-2)(x-2)=0 | | 8(m-5)=2(3m-8$ | | 0.6/0.8=x | | 7-(x)=14 | | x+4-1=0 | | 999f=4131 | | 13=g~3+4 | | 89c-9)=6(2c-12)-4c | | (x-2)2+(x-2)(x-2)=0 | | 1/2(x)-8=-2 | | 14x2+5x−6=0 | | 6x+5+3x=-13 | | 13=g√3+4 | | -4x=3=-17 | | ,2-6(2-p)=8 | | -4(4n+4)=-38+6n | | 3x/2+3=4 | | 1000f=4135.135135 | | 1/8x=0.5 | | (10)/(x)+8=(4)/(x)-2 | | 6k-5k=22 | | 11h+(-6h)=-5 |

Equations solver categories