5.1/2x-2=2x

Solution for 5.1/2x-2=2x equation:

5.1/2x-2=2x

We move all terms to the left:

5.1/2x-2-(2x)=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+5.1/2x-2=0

We multiply all the terms by the denominator


-2x*2x-2*2x+5.1=0

Wy multiply elements

-4x^2-4x+5.1=0

a = -4; b = -4; c = +5.1;
Δ = b2-4ac
Δ = -42-4·(-4)·5.1
Δ = 97.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-\sqrt{97.6}}{2*-4}=\frac{4-\sqrt{97.6}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+\sqrt{97.6}}{2*-4}=\frac{4+\sqrt{97.6}}{-8}
$