8m-3/3m=2

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Solution for 8m-3/3m=2 equation:



8m-3/3m=2
We move all terms to the left:
8m-3/3m-(2)=0
Domain of the equation: 3m!=0
m!=0/3
m!=0
m∈R
We multiply all the terms by the denominator
8m*3m-2*3m-3=0
Wy multiply elements
24m^2-6m-3=0
a = 24; b = -6; c = -3;
Δ = b2-4ac
Δ = -62-4·24·(-3)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-18}{2*24}=\frac{-12}{48} =-1/4 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+18}{2*24}=\frac{24}{48} =1/2 $

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