1/2x+3=x-4,x

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



1/2x+3=x-4.x
We move all terms to the left:
1/2x+3-(x-4.x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We add all the numbers together, and all the variables
1/2x-(-3x)+3=0
We get rid of parentheses
1/2x+3x+3=0
We multiply all the terms by the denominator
3x*2x+3*2x+1=0
Wy multiply elements
6x^2+6x+1=0
a = 6; b = 6; c = +1;
Δ = b2-4ac
Δ = 62-4·6·1
Δ = 12
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:
$\sqrt{\Delta}=\sqrt{12}=\sqrt{4*3}=\sqrt{4}*\sqrt{3}=2\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{3}}{2*6}=\frac{-6-2\sqrt{3}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{3}}{2*6}=\frac{-6+2\sqrt{3}}{12} $

See similar equations:

| 3q-7=12q+11,q | | 42y-126=0 | | 83/100=a/64 | | 2x=51-15 | | 45=x20 | | 1/h=-7.5 | | 1.5n-6=9 | | -0.1(0.8)+0.4y=0 | | -0.1(0.8)+4y=0 | | -0.1x+0.4(1-x)=0 | | (x-10°)+(4x-25°)+(x+5)=180° | | (x-10°)+(4x-25°)+(x+5)=180° | | (x-10°)+(4x-25°)+(x+5)=180° | | (x-10°)+(4x-25°)+(x+5)=180° | | (x-10°)+(4x-25°)+(x+5)=180° | | 36x=18.2 | | 50x+40=0 | | 3y-5=31-y | | 36x=18.2 | | -2-h=9 | | 2x^-9x+400=0 | | 2x^-9x+400=0 | | 2x^-9x+400=0 | | 20/4*(2+3)=a | | 20/4*(2+3)=a | | (6v⁴+3+4v²)=(v²-8-3v) | | 3x1+6x2=800 | | 3y+y^2+2=0 | | 7(4k-6)=+2(3k-6= | | 7(4k-6)=+2(3k-6= | | 7(4k-6)=+2(3k-6= | | X+(x-4.43)=199.75 |

Equations solver categories