3/4e-13=1/2e-15

Solution for 3/4e-13=1/2e-15 equation:

3/4e-13=1/2e-15

We move all terms to the left:

3/4e-13-(1/2e-15)=0


Domain of the equation: 4e!=0

e!=0/4

e!=0

e∈R



Domain of the equation: 2e-15)!=0

e∈R


We get rid of parentheses

3/4e-1/2e+15-13=0

We calculate fractions


6e/8e^2+(-4e)/8e^2+15-13=0

We add all the numbers together, and all the variables

6e/8e^2+(-4e)/8e^2+2=0

We multiply all the terms by the denominator


6e+(-4e)+2*8e^2=0

Wy multiply elements

16e^2+6e+(-4e)=0

We get rid of parentheses

16e^2+6e-4e=0

We add all the numbers together, and all the variables

16e^2+2e=0

a = 16; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·16·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*16}=\frac{-4}{32}
=-1/8
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*16}=\frac{0}{32}
=0
$