3/1+2x=5/3x-2

Simple and best practice solution for 3/1+2x=5/3x-2 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 3/1+2x=5/3x-2 equation: 



3/1+2x=5/3x-2

We move all terms to the left:

3/1+2x-(5/3x-2)=0



Domain of the equation: 3x-2)!=0

x∈R



We add all the numbers together, and all the variables

2x-(5/3x-2)=0

We get rid of parentheses

2x-5/3x+2=0

We multiply all the terms by the denominator


2x*3x+2*3x-5=0

Wy multiply elements

6x^2+6x-5=0

a = 6; b = 6; c = -5;
Δ = b2-4ac
Δ = 62-4·6·(-5)
Δ = 156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:


$\sqrt{\Delta}=\sqrt{156}=\sqrt{4*39}=\sqrt{4}*\sqrt{39}=2\sqrt{39}$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{39}}{2*6}=\frac{-6-2\sqrt{39}}{12}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{39}}{2*6}=\frac{-6+2\sqrt{39}}{12}
$

See similar equations:

| 6+j=-5 | | 6+-1=j | | 2x+5-3x=2x+8 | | -6+-11=j | | 16x²-20x+5=0 | | -6+11=j | | A=6/5(h-65) | | 13=x+-17 | | S2+8s+16=0 | | -37+c=92 | | 1.3m+3(m+8.2)=37.5 | | 99/v=99 | | 7x-3=8x-5 | | -6n-4+2=23 | | 99÷v=99 | | 16=2x+5x+2 | | 59049=3^(x) | | 3n^2+n-310=0 | | 5+7(c+4)=-21 | | X^3-2x^2-13x-38=0 | | -7-5(1-8r)=-25 | | -3v+2v=-20 | | -3v+-2v=-20 | | 75=5x+x | | -20=-3v+-2v | | 2x+6=3×+2 | | 50=5r(2) | | 10-3x=4x-4 | | 9n+1=5n+18 | | 1y+1×=3 | | p^2-p+1/2=0 | | -12-6=-6x |

Equations solver categories