7/3m+3/2m=115/12

Solution for 7/3m+3/2m=115/12 equation:

7/3m+3/2m=115/12

We move all terms to the left:

7/3m+3/2m-(115/12)=0


Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R



Domain of the equation: 2m!=0

m!=0/2

m!=0

m∈R


We add all the numbers together, and all the variables

7/3m+3/2m-(+115/12)=0

We get rid of parentheses

7/3m+3/2m-115/12=0

We calculate fractions


(-1380m^2)/72m^2+168m/72m^2+108m/72m^2=0

We multiply all the terms by the denominator


(-1380m^2)+168m+108m=0

We add all the numbers together, and all the variables

(-1380m^2)+276m=0

We get rid of parentheses

-1380m^2+276m=0

a = -1380; b = 276; c = 0;
Δ = b2-4ac
Δ = 2762-4·(-1380)·0
Δ = 76176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{76176}=276$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(276)-276}{2*-1380}=\frac{-552}{-2760}
=1/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(276)+276}{2*-1380}=\frac{0}{-2760}
=0
$