9/8m-1/6m=4-11/3

Solution for 9/8m-1/6m=4-11/3 equation:

9/8m-1/6m=4-11/3

We move all terms to the left:

9/8m-1/6m-(4-11/3)=0


Domain of the equation: 8m!=0

m!=0/8

m!=0

m∈R



Domain of the equation: 6m!=0

m!=0/6

m!=0

m∈R


We add all the numbers together, and all the variables

9/8m-1/6m-(-11/3+4)=0

We get rid of parentheses

9/8m-1/6m-4+11/3=0

We calculate fractions


3168m^2/432m^2+486m/432m^2+(-72m)/432m^2-4=0

We multiply all the terms by the denominator


3168m^2+486m+(-72m)-4*432m^2=0

Wy multiply elements

3168m^2-1728m^2+486m+(-72m)=0

We get rid of parentheses

3168m^2-1728m^2+486m-72m=0

We add all the numbers together, and all the variables

1440m^2+414m=0

a = 1440; b = 414; c = 0;
Δ = b2-4ac
Δ = 4142-4·1440·0
Δ = 171396
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{171396}=414$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(414)-414}{2*1440}=\frac{-828}{2880}
=-23/80
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(414)+414}{2*1440}=\frac{0}{2880}
=0
$