-2/8e-3/4e=-10

Solution for -2/8e-3/4e=-10 equation:

-2/8e-3/4e=-10

We move all terms to the left:

-2/8e-3/4e-(-10)=0


Domain of the equation: 8e!=0

e!=0/8

e!=0

e∈R



Domain of the equation: 4e!=0

e!=0/4

e!=0

e∈R


We add all the numbers together, and all the variables

-2/8e-3/4e+10=0

We calculate fractions


(-8e)/32e^2+(-24e)/32e^2+10=0

We multiply all the terms by the denominator


(-8e)+(-24e)+10*32e^2=0

Wy multiply elements

320e^2+(-8e)+(-24e)=0

We get rid of parentheses

320e^2-8e-24e=0

We add all the numbers together, and all the variables

320e^2-32e=0

a = 320; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·320·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*320}=\frac{0}{640}
=0
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*320}=\frac{64}{640}
=1/10
$