2x-(1-1/2x)=4

Simple and best practice solution for 2x-(1-1/2x)=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 2x-(1-1/2x)=4 equation:



2x-(1-1/2x)=4
We move all terms to the left:
2x-(1-1/2x)-(4)=0
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
2x-(-1/2x+1)-4=0
We get rid of parentheses
2x+1/2x-1-4=0
We multiply all the terms by the denominator
2x*2x-1*2x-4*2x+1=0
Wy multiply elements
4x^2-2x-8x+1=0
We add all the numbers together, and all the variables
4x^2-10x+1=0
a = 4; b = -10; c = +1;
Δ = b2-4ac
Δ = -102-4·4·1
Δ = 84
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:
$\sqrt{\Delta}=\sqrt{84}=\sqrt{4*21}=\sqrt{4}*\sqrt{21}=2\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-2\sqrt{21}}{2*4}=\frac{10-2\sqrt{21}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+2\sqrt{21}}{2*4}=\frac{10+2\sqrt{21}}{8} $

See similar equations:

| 6n=18-6 | | 10-8÷x=2 | | 0=-16x^2+800x-5800 | | G(x)=2^x | | -16x^2+32x=11 | | 5(2x3,+3=6x-5 | | 0.75x-0.625(1-x)=0.5(3x-0.5) | | 3x=80-3x | | Y(8-2y)=4 | | 3x/2+11=14 | | 3x-19=-2x+81 | | -56+9x=52 | | A(x)=50x-x^2=-(x^2-50x) | | A(x)=x(50-x) | | 2(-2-y)-3y=-9 | | 2x^2–x+9=9 | | 7b=9=33 | | 34=-2(z-6) | | 4x2-4=54 | | x-2/×+1-2-×/×-1=1 | | -8/5-7/3v=1/2 | | 10x-70=-20 | | 12x+8-8=180 | | 6x+20=140° | | -5.79+-3m=0.11 | | 5(m+2)+9m=6 | | 12x=3+3 | | -5/4=9/2v-3/8 | | 0.125=7/n | | 2x-3/1-×-1=4×+4/1-×+× | | 20t+5°=15t | | 39-4g=87 |

Equations solver categories