8m^2/3mm=3

Solution for 8m^2/3mm=3 equation:

8m^2/3mm=3

We move all terms to the left:

8m^2/3mm-(3)=0


Domain of the equation: 3mm!=0

m!=0/1

m!=0

m∈R


We multiply all the terms by the denominator


8m^2-3*3mm=0

Wy multiply elements

8m^2-9m=0

a = 8; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·8·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*8}=\frac{0}{16}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*8}=\frac{18}{16}
=1+1/8
$