-24-1/8p=3/88p

Solution for -24-1/8p=3/88p equation:

-24-1/8p=3/88p

We move all terms to the left:

-24-1/8p-(3/88p)=0


Domain of the equation: 8p!=0

p!=0/8

p!=0

p∈R



Domain of the equation: 88p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

-1/8p-(+3/88p)-24=0

We get rid of parentheses

-1/8p-3/88p-24=0

We calculate fractions


(-88p)/704p^2+(-24p)/704p^2-24=0

We multiply all the terms by the denominator


(-88p)+(-24p)-24*704p^2=0

Wy multiply elements

-16896p^2+(-88p)+(-24p)=0

We get rid of parentheses

-16896p^2-88p-24p=0

We add all the numbers together, and all the variables

-16896p^2-112p=0

a = -16896; b = -112; c = 0;
Δ = b2-4ac
Δ = -1122-4·(-16896)·0
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-112}{2*-16896}=\frac{0}{-33792}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+112}{2*-16896}=\frac{224}{-33792}
=-7/1056
$