-3/8m+1-13/18m=5

Solution for -3/8m+1-13/18m=5 equation:

-3/8m+1-13/18m=5

We move all terms to the left:

-3/8m+1-13/18m-(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-13/18m-4=0

We calculate fractions


(-54m)/144m^2+(-104m)/144m^2-4=0

We multiply all the terms by the denominator


(-54m)+(-104m)-4*144m^2=0

Wy multiply elements

-576m^2+(-54m)+(-104m)=0

We get rid of parentheses

-576m^2-54m-104m=0

We add all the numbers together, and all the variables

-576m^2-158m=0

a = -576; b = -158; c = 0;
Δ = b2-4ac
Δ = -1582-4·(-576)·0
Δ = 24964
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24964}=158$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-158)-158}{2*-576}=\frac{0}{-1152}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-158)+158}{2*-576}=\frac{316}{-1152}
=-79/288
$