(3x-2)/3x+2=4

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


x in (-oo:+oo)

x*((3*x-2)/3)+2 = 4 // - 4

x*((3*x-2)/3)-4+2 = 0

(x*(3*x-2))/3-4+2 = 0

(x*(3*x-2))/3+(-4*3)/3+(2*3)/3 = 0

x*(3*x-2)-4*3+2*3 = 0

3*x^2-2*x-12+6 = 0

3*x^2-2*x-6 = 0

3*x^2-2*x-6 = 0

3*x^2-2*x-6 = 0

DELTA = (-2)^2-(-6*3*4)

DELTA = 76

DELTA > 0

x = (76^(1/2)+2)/(2*3) or x = (2-76^(1/2))/(2*3)

x = (2*19^(1/2)+2)/6 or x = (2-2*19^(1/2))/6

(x-((2-2*19^(1/2))/6))*(x-((2*19^(1/2)+2)/6)) = 0

((x-((2-2*19^(1/2))/6))*(x-((2*19^(1/2)+2)/6)))/3 = 0

((x-((2-2*19^(1/2))/6))*(x-((2*19^(1/2)+2)/6)))/3 = 0 // * 3

(x-((2-2*19^(1/2))/6))*(x-((2*19^(1/2)+2)/6)) = 0

( x-((2*19^(1/2)+2)/6) )

x-((2*19^(1/2)+2)/6) = 0 // + (2*19^(1/2)+2)/6

x = (2*19^(1/2)+2)/6

( x-((2-2*19^(1/2))/6) )

x-((2-2*19^(1/2))/6) = 0 // + (2-2*19^(1/2))/6

x = (2-2*19^(1/2))/6

x in { (2*19^(1/2)+2)/6, (2-2*19^(1/2))/6 }

See similar equations:

| (4x^3+5x^2+9)-(-6x^3+4x^2-9)= | | 18=6(9-3) | | (4x-2)/3=-5x+1 | | (x-1)=(6x+6) | | 45=-5 | | 5w/8+31=36 | | 13x-56+7x+10=154 | | 22=-k-(-7k-1) | | 180-60= | | 71-7x=38x+16 | | 5x-4(2x+6)=15 | | (c+1/2*c) | | 3/4n+13=19 | | 5x^2=60-20k | | 11y-2y= | | 2t/7-4=6 | | 39*9308= | | 12-9x=39-30x | | S/5+3=6 | | v-3+3=8 | | 19x+11y=-2 | | 5x=14.25 | | 3x-5=13-85 | | (x+3)2-(x)2=39 | | (2x-3)(2x-3)=56 | | -3v=9 | | 180=14t^2-100t | | 3k=6k+15-8k | | x-7/3=x-2/5 | | x+x+x+2= | | 288=-16t^2+144t | | 8x+9=10+3 |

Equations solver categories