2/3x+9=1x+5

Simple and best practice solution for 2/3x+9=1x+5 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=1x+5 equation:



2/3x+9=1x+5
We move all terms to the left:
2/3x+9-(1x+5)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
We add all the numbers together, and all the variables
2/3x-(x+5)+9=0
We get rid of parentheses
2/3x-x-5+9=0
We multiply all the terms by the denominator
-x*3x-5*3x+9*3x+2=0
Wy multiply elements
-3x^2-15x+27x+2=0
We add all the numbers together, and all the variables
-3x^2+12x+2=0
a = -3; b = 12; c = +2;
Δ = b2-4ac
Δ = 122-4·(-3)·2
Δ = 168
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:
$\sqrt{\Delta}=\sqrt{168}=\sqrt{4*42}=\sqrt{4}*\sqrt{42}=2\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-2\sqrt{42}}{2*-3}=\frac{-12-2\sqrt{42}}{-6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+2\sqrt{42}}{2*-3}=\frac{-12+2\sqrt{42}}{-6} $

See similar equations:

| (7)4x*(7)3=(7)11 | | 4x+4=12x-9 | | x÷-2=2 | | 9=27/t | | √​2x​​​+17.1=−41.3 | | 32=3n+5 | | -4x+5=-2x-13 | | 7^4x*7^3=7^11 | | ((1-x)/6)=0 | | x÷-2+8=10 | | 8d​ =0.3 | | 2x=2^4 | | 18/50=x/15 | | 8x-18=3x+16+2x+8 | | 4x²-160x+1296=0 | | 7-9x+3-x=-20x+5x= | | 250x+550(x-1)+350(3((x-1)-1))=5450 | | 5450=250x+550(x-1)+350(3((x-1)-1)) | | x+150+130+x+20+120+140+x-20=900 | | 1/3.x=6 | | -11+10(9+10)=4-5(2p+11) | | 150+120+x=180 | | (x-19)(-2)=-12 | | G(x)=3,x= | | 6(y-4)=-8y-10 | | 19=y/2+9 | | (5x-4)2=x+4 | | -8x+40=8(x-5) | | x9-2=1 | | 1/3q=-5/6 | | 3.14n=0 | | 5(u+2)=2u-20 |

Equations solver categories