6d/2d-1=2d

Solution for 6d/2d-1=2d equation:

6d/2d-1=2d

We move all terms to the left:

6d/2d-1-(2d)=0


Domain of the equation: 2d!=0

d!=0/2

d!=0

d∈R


We add all the numbers together, and all the variables

-2d+6d/2d-1=0

We multiply all the terms by the denominator


-2d*2d+6d-1*2d=0

We add all the numbers together, and all the variables

6d-2d*2d-1*2d=0

Wy multiply elements

-4d^2+6d-2d=0

We add all the numbers together, and all the variables

-4d^2+4d=0

a = -4; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-4)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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