6m^/2m=3m

Solution for 6m^/2m=3m equation:

6m^/2m=3m

We move all terms to the left:

6m^/2m-(3m)=0


Domain of the equation: 2m!=0

m!=0/2

m!=0

m∈R


We add all the numbers together, and all the variables

-3m+6m^/2m=0

We multiply all the terms by the denominator


-3m*2m+6m^=0

We add all the numbers together, and all the variables

6m-3m*2m=0

Wy multiply elements

-6m^2+6m=0

a = -6; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-6)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-6}=\frac{-12}{-12}
=1
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-6}=\frac{0}{-12}
=0
$