5+5+1+1+x=2(4*1/2x)

Solution for 5+5+1+1+x=2(4*1/2x) equation:

5+5+1+1+x=2(4*1/2x)

We move all terms to the left:

5+5+1+1+x-(2(4*1/2x))=0


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(2(+4*1/2x))+5+5+1+1=0

We add all the numbers together, and all the variables

x-(2(+4*1/2x))+12=0

We multiply all the terms by the denominator


x*2x))-(2(+12*2x))+4*1=0

Wy multiply elements

2x^2+24x=0

a = 2; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·2·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*2}=\frac{-48}{4}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*2}=\frac{0}{4}
=0
$