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 add all the numbers together, and all the variables

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

We get rid of parentheses

2x-1/2x-1+1=0

We multiply all the terms by the denominator


2x*2x-1*2x+1*2x-1=0

Wy multiply elements

4x^2-2x+2x-1=0

We add all the numbers together, and all the variables

4x^2-1=0

a = 4; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·4·(-1)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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