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

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



2x-4=(1)/(2)x+2
We move all terms to the left:
2x-4-((1)/(2)x+2)=0
Domain of the equation: 2x+2)!=0
x∈R
We get rid of parentheses
2x-1/2x-2-4=0
We multiply all the terms by the denominator
2x*2x-2*2x-4*2x-1=0
Wy multiply elements
4x^2-4x-8x-1=0
We add all the numbers together, and all the variables
4x^2-12x-1=0
a = 4; b = -12; c = -1;
Δ = b2-4ac
Δ = -122-4·4·(-1)
Δ = 160
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:
$\sqrt{\Delta}=\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-4\sqrt{10}}{2*4}=\frac{12-4\sqrt{10}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+4\sqrt{10}}{2*4}=\frac{12+4\sqrt{10}}{8} $

See similar equations:

| 14x+1=25+2x | | 3^x+1=5 | | 0=12x^2-44x+2 | | 6(2r+7)=6 | | 2x-4=1/2x+2 | | 5^x-2=7 | | 6x+36/9=8 | | -3w=15/2 | | 8x+3x-21=9x+9 | | 3n+3=3n+27 | | 16x+55=9 | | 4+2x=14x | | 7(5b=8) | | 7x+7=5x-2 | | 8.6+.9x=14.9 | | 6n=21•4 | | 4p−2p=12 | | -3(6y-10)-y=-3(y-2) | | -28-1/7n=3/7n | | X×1/5=6p | | 12x-246=4-6 | | 10=a7/67+(985-45a)6 | | 19+7a=33 | | 2a^2+4a-2=0 | | c=5/9(c−32) | | 2a^2+4-2=0 | | 2(-x+3x)+(-x)+7=(-x)+(-3) | | -6−5g=-9g+10 | | -4p+7=-3p | | -5−9v=7−7v | | 2(-x+3x)+3(-x)+7=(-x)+-3x(-3) | | 4d=-d+10 |

Equations solver categories