-24-8/3p=3/8p

Solution for -24-8/3p=3/8p equation:

-24-8/3p=3/8p

We move all terms to the left:

-24-8/3p-(3/8p)=0


Domain of the equation: 3p!=0

p!=0/3

p!=0

p∈R



Domain of the equation: 8p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

-8/3p-(+3/8p)-24=0

We get rid of parentheses

-8/3p-3/8p-24=0

We calculate fractions


(-64p)/24p^2+(-9p)/24p^2-24=0

We multiply all the terms by the denominator


(-64p)+(-9p)-24*24p^2=0

Wy multiply elements

-576p^2+(-64p)+(-9p)=0

We get rid of parentheses

-576p^2-64p-9p=0

We add all the numbers together, and all the variables

-576p^2-73p=0

a = -576; b = -73; c = 0;
Δ = b2-4ac
Δ = -732-4·(-576)·0
Δ = 5329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5329}=73$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-73}{2*-576}=\frac{0}{-1152}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+73}{2*-576}=\frac{146}{-1152}
=-73/576
$