(12x^2-4x+1)/(3x+2)=x

Simple and best practice solution for (12x^2-4x+1)/(3x+2)=x 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 (12x^2-4x+1)/(3x+2)=x equation: 



(12x^2-4x+1)/(3x+2)=x

We move all terms to the left:

(12x^2-4x+1)/(3x+2)-(x)=0



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

We move all terms containing x to the left, all other terms to the right

3x!=-2

x!=-2/3

x!=-2/3

x∈R



We add all the numbers together, and all the variables

-1x+(12x^2-4x+1)/(3x+2)=0

We multiply all the terms by the denominator


-1x*(3x+2)+(12x^2-4x+1)=0

We multiply parentheses

-3x^2-2x+(12x^2-4x+1)=0

We get rid of parentheses

-3x^2+12x^2-2x-4x+1=0

We add all the numbers together, and all the variables

9x^2-6x+1=0

a = 9; b = -6; c = +1;
Δ = b2-4ac
Δ = -62-4·9·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{6}{18}=1/3$

See similar equations:

| 3x-12=x-5 | | 4m+7-9m-8=19 | | 6/7=-2x-7/8 | | w/2+2=-8 | | 4.1=x/5.23+2.34 | | 3y-y+6=0 | | w/2+2=8 | | -7.3-3.2t=4.9(t+6.1) | | 5x^2=9x-3 | | 5x-3=9/(x-3) | | 1.5x=365 | | -81=z/51-79 | | 9+7x=3+3x | | 5y/6+5.6=1/6 | | -2(-12-3v)=-6 | | -4(5-9k)=21 | | X²+17x=0 | | 4(2x+5)=16x+2-8x+18 | | 6=12+15x | | 3(2m+10=-12 | | x/4-5=1/5(x-20) | | 3x-6=11x-44 | | (x^2+2x+2)/(x-1)(x+1)=1 | | -5(-x+3)=2x-7-8+3x | | -6x=-1/4 | | |10x-2x|=32 | | 5(x-1)+2(2x+1)=11 | | -3x+7=2x+7-5x | | 3x/2x+1=5/2 | | -5x-12+7x-21=-4 | | 2x+14=1.5x+6 | | 9x+4=9x-9 |

Equations solver categories