-3/8m+1-3/18m=5

Solution for -3/8m+1-3/18m=5 equation:

-3/8m+1-3/18m=5

We move all terms to the left:

-3/8m+1-3/18m-(5)=0


Domain of the equation: 8m!=0

m!=0/8

m!=0

m∈R



Domain of the equation: 18m!=0

m!=0/18

m!=0

m∈R


We add all the numbers together, and all the variables

-3/8m-3/18m-4=0

We calculate fractions


(-54m)/144m^2+(-24m)/144m^2-4=0

We multiply all the terms by the denominator


(-54m)+(-24m)-4*144m^2=0

Wy multiply elements

-576m^2+(-54m)+(-24m)=0

We get rid of parentheses

-576m^2-54m-24m=0

We add all the numbers together, and all the variables

-576m^2-78m=0

a = -576; b = -78; c = 0;
Δ = b2-4ac
Δ = -782-4·(-576)·0
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78)-78}{2*-576}=\frac{0}{-1152}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+78}{2*-576}=\frac{156}{-1152}
=-13/96
$