2/3x-9=1/6x+4

Simple and best practice solution for 2/3x-9=1/6x+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 2/3x-9=1/6x+4 equation:



2/3x-9=1/6x+4
We move all terms to the left:
2/3x-9-(1/6x+4)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 6x+4)!=0
x∈R
We get rid of parentheses
2/3x-1/6x-4-9=0
We calculate fractions
12x/18x^2+(-3x)/18x^2-4-9=0
We add all the numbers together, and all the variables
12x/18x^2+(-3x)/18x^2-13=0
We multiply all the terms by the denominator
12x+(-3x)-13*18x^2=0
Wy multiply elements
-234x^2+12x+(-3x)=0
We get rid of parentheses
-234x^2+12x-3x=0
We add all the numbers together, and all the variables
-234x^2+9x=0
a = -234; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·(-234)·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*-234}=\frac{-18}{-468} =1/26 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*-234}=\frac{0}{-468} =0 $

See similar equations:

| -4x-20=-120 | | 12x+18+3x=63 | | A(x)=50-1.25x | | 4^2n=16 | | 8m+70+2m=310 | | -14x+9=37 | | 10x/3=-2x+12 | | 0.3x.10(20)=0.7(x+20) | | 8/9x5/9=8 | | F(x)=9(4x-3)2 | | 4x+19=-26 | | 18=9-a/2 | | 6k=48 | | 0=-16t2+64t+512 | | 6.4x+400=40.96+20x | | {c-4}{4}=7 | | -4(6x+9)=2(12x+18) | | 2x+4x+3=0 | | 16(n+3)=4(n+9) | | 3/4x-9/5=5 | | x=913 | | 2.5(x+7)=13 | | 2y+4y=-16 | | 6+3x=1/2(12+6x) | | 3y+3+3y=15 | | 4x+40=12x | | s/7=35 | | 6x+76=3 | | .63x100=63 | | 5y+3=3y+4 | | 2x^2+5-15-x=(2x)x^2-25 | | 4j-3=12 |

Equations solver categories