4/13p+3=1/3p

Solution for 4/13p+3=1/3p equation:

4/13p+3=1/3p

We move all terms to the left:

4/13p+3-(1/3p)=0


Domain of the equation: 13p!=0

p!=0/13

p!=0

p∈R



Domain of the equation: 3p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

4/13p-(+1/3p)+3=0

We get rid of parentheses

4/13p-1/3p+3=0

We calculate fractions


12p/39p^2+(-13p)/39p^2+3=0

We multiply all the terms by the denominator


12p+(-13p)+3*39p^2=0

Wy multiply elements

117p^2+12p+(-13p)=0

We get rid of parentheses

117p^2+12p-13p=0

We add all the numbers together, and all the variables

117p^2-1p=0

a = 117; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·117·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*117}=\frac{0}{234}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*117}=\frac{2}{234}
=1/117
$