2/2x+2x+4=-4

Solution for 2/2x+2x+4=-4 equation:

2/2x+2x+4=-4

We move all terms to the left:

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


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

2x+2/2x+8=0

We multiply all the terms by the denominator


2x*2x+8*2x+2=0

Wy multiply elements

4x^2+16x+2=0

a = 4; b = 16; c = +2;
Δ = b2-4ac
Δ = 162-4·4·2
Δ = 224
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:

$\sqrt{\Delta}=\sqrt{224}=\sqrt{16*14}=\sqrt{16}*\sqrt{14}=4\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4\sqrt{14}}{2*4}=\frac{-16-4\sqrt{14}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4\sqrt{14}}{2*4}=\frac{-16+4\sqrt{14}}{8}
$