-5/6e-3/2e=-24

Solution for -5/6e-3/2e=-24 equation:

-5/6e-3/2e=-24

We move all terms to the left:

-5/6e-3/2e-(-24)=0


Domain of the equation: 6e!=0

e!=0/6

e!=0

e∈R



Domain of the equation: 2e!=0

e!=0/2

e!=0

e∈R


We add all the numbers together, and all the variables

-5/6e-3/2e+24=0

We calculate fractions


(-10e)/12e^2+(-18e)/12e^2+24=0

We multiply all the terms by the denominator


(-10e)+(-18e)+24*12e^2=0

Wy multiply elements

288e^2+(-10e)+(-18e)=0

We get rid of parentheses

288e^2-10e-18e=0

We add all the numbers together, and all the variables

288e^2-28e=0

a = 288; b = -28; c = 0;
Δ = b2-4ac
Δ = -282-4·288·0
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-28}{2*288}=\frac{0}{576}
=0
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+28}{2*288}=\frac{56}{576}
=7/72
$