6+1/2*x=4+1/3*x

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



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

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*12}=\frac{-2}{24} =-1/12 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*12}=\frac{0}{24} =0 $

See similar equations:

| 0.953^2n+0.953^n=0.56 | | 114/p=6 | | 9x2+49=0. | | 0.13x=200 | | 9(5x)=5x | | 29x-0.1x=2.70)=56.709(2) | | (x)+(x-10)=96 | | -w/3=0 | | y=83.7(-723.7) | | y=3745 | | −20x40=−20x20 | | 40x40=40x20 | | (x+26)+(3x-8)=180 | | a=4/2(3) | | 6=a–1 | | -3x-99=8x+9 | | 3x-99=8x+9 | | (x^2+x^2)/x^2=2 | | 20=0.25x | | 180=109+(4x-11)+(x-22) | | 3.8=1.14/(x+0.4) | | 3x-4+6x-10=180 | | (3x+1)+(2x)+(2x+4)=180 | | (3x-9)+(x+4)=180 | | 66=(5x-4) | | 3+10(9x+7)=763 | | 3x-5=4x/3+45 | | -105=-5(1-4x)= | | 7=43-12x | | 0.05x+x=139,1 | | 1/5=1/h | | 6x^2-12x-28=0 |

Equations solver categories