3/4p+3=3/8p-3

Solution for 3/4p+3=3/8p-3 equation:

3/4p+3=3/8p-3

We move all terms to the left:

3/4p+3-(3/8p-3)=0


Domain of the equation: 4p!=0

p!=0/4

p!=0

p∈R



Domain of the equation: 8p-3)!=0

p∈R


We get rid of parentheses

3/4p-3/8p+3+3=0

We calculate fractions


24p/32p^2+(-12p)/32p^2+3+3=0

We add all the numbers together, and all the variables

24p/32p^2+(-12p)/32p^2+6=0

We multiply all the terms by the denominator


24p+(-12p)+6*32p^2=0

Wy multiply elements

192p^2+24p+(-12p)=0

We get rid of parentheses

192p^2+24p-12p=0

We add all the numbers together, and all the variables

192p^2+12p=0

a = 192; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·192·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*192}=\frac{-24}{384}
=-1/16
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*192}=\frac{0}{384}
=0
$