2(6x+1)=2(4+5/2x)

Solution for 2(6x+1)=2(4+5/2x) equation:

2(6x+1)=2(4+5/2x)

We move all terms to the left:

2(6x+1)-(2(4+5/2x))=0


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2(6x+1)-(2(5/2x+4))=0

We multiply parentheses

12x-(2(5/2x+4))+2=0

We multiply all the terms by the denominator


12x*2x+2*2x+4))-(2(5+4))=0

We add all the numbers together, and all the variables

12x*2x+2*2x+4))-(29)=0

We add all the numbers together, and all the variables

12x*2x+2*2x=0

Wy multiply elements

24x^2+4x=0

a = 24; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·24·0
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{-(4)-4}{2*24}=\frac{-8}{48}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*24}=\frac{0}{48}
=0
$