-5/8e-2/3e=-24

Solution for -5/8e-2/3e=-24 equation:

-5/8e-2/3e=-24

We move all terms to the left:

-5/8e-2/3e-(-24)=0


Domain of the equation: 8e!=0

e!=0/8

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

-5/8e-2/3e+24=0

We calculate fractions


(-15e)/24e^2+(-16e)/24e^2+24=0

We multiply all the terms by the denominator


(-15e)+(-16e)+24*24e^2=0

Wy multiply elements

576e^2+(-15e)+(-16e)=0

We get rid of parentheses

576e^2-15e-16e=0

We add all the numbers together, and all the variables

576e^2-31e=0

a = 576; b = -31; c = 0;
Δ = b2-4ac
Δ = -312-4·576·0
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-31}{2*576}=\frac{0}{1152}
=0
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+31}{2*576}=\frac{62}{1152}
=31/576
$