3x=2/3x=

Simple and best practice solution for 3x=2/3x= 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 3x=2/3x= equation:



3x=2/3x=
We move all terms to the left:
3x-(2/3x)=0
Domain of the equation: 3x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
3x-(+2/3x)=0
We get rid of parentheses
3x-2/3x=0
We multiply all the terms by the denominator
3x*3x-2=0
Wy multiply elements
9x^2-2=0
a = 9; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·9·(-2)
Δ = 72
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:
$\sqrt{\Delta}=\sqrt{72}=\sqrt{36*2}=\sqrt{36}*\sqrt{2}=6\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{2}}{2*9}=\frac{0-6\sqrt{2}}{18} =-\frac{6\sqrt{2}}{18} =-\frac{\sqrt{2}}{3} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{2}}{2*9}=\frac{0+6\sqrt{2}}{18} =\frac{6\sqrt{2}}{18} =\frac{\sqrt{2}}{3} $

See similar equations:

| 144x=196x | | 5.3x+21=1.3x+5 | | 4(x-9)+26=18 | | 225x=15x | | 4-(6x-10)=-8(-3x+5) | | 2x-39=36 | | 2x=5-9x=2+8x+12 | | 1/3^3-x^2-5x+1=-5 | | -0.5x^2+25x-108=117 | | 3v+16=-14+v | | -0.5x^2+25x-108=0 | | 8.44=3.46+4h/5 | | x+68+47=180 | | x+3.48=9.35 | | 4x-3x+5=2x+1 | | 4x13=(4x)+(4×) | | 3x-8=22* | | 0.08x+67.96=0.12x+59.96 | | 4x-5+115=180 | | w+4=32/w | | 5(3x-2)=-(7+6x)-2x | | k/5+6=-1 | | x+20+x+70=360 | | -6+3x=4x | | -3x-1=20+4x | | 4x=36-5x= | | 6x^2=-60x+438 | | y^2+12y+16=0 | | m|-5=-7 | | 4x=36+-5x | | -2c+8=-24 | | 2x/3+2=x/9+4 |

Equations solver categories