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

Solution for 2x-4=4(1/2x+1) equation:

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

We move all terms to the left:

2x-4-(4(1/2x+1))=0


Domain of the equation: 2x+1))!=0

x∈R


We multiply all the terms by the denominator


2x*2x-4*2x+1))-(4(1+1))=0

We add all the numbers together, and all the variables

2x*2x-4*2x+1))-(42)=0

We add all the numbers together, and all the variables

2x*2x-4*2x=0

Wy multiply elements

4x^2-8x=0

a = 4; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·4·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*4}=\frac{16}{8}
=2
$