-5/4e-2/3e=-24

Solution for -5/4e-2/3e=-24 equation:

-5/4e-2/3e=-24

We move all terms to the left:

-5/4e-2/3e-(-24)=0


Domain of the equation: 4e!=0

e!=0/4

e!=0

e∈R



Domain of the equation: 3e!=0

e!=0/3

e!=0

e∈R


We add all the numbers together, and all the variables

-5/4e-2/3e+24=0

We calculate fractions


(-15e)/12e^2+(-8e)/12e^2+24=0

We multiply all the terms by the denominator


(-15e)+(-8e)+24*12e^2=0

Wy multiply elements

288e^2+(-15e)+(-8e)=0

We get rid of parentheses

288e^2-15e-8e=0

We add all the numbers together, and all the variables

288e^2-23e=0

a = 288; b = -23; c = 0;
Δ = b2-4ac
Δ = -232-4·288·0
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-23}{2*288}=\frac{0}{576}
=0
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+23}{2*288}=\frac{46}{576}
=23/288
$