2/7p+5=1/3p

Solution for 2/7p+5=1/3p equation:

2/7p+5=1/3p

We move all terms to the left:

2/7p+5-(1/3p)=0


Domain of the equation: 7p!=0

p!=0/7

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

2/7p-(+1/3p)+5=0

We get rid of parentheses

2/7p-1/3p+5=0

We calculate fractions


6p/21p^2+(-7p)/21p^2+5=0

We multiply all the terms by the denominator


6p+(-7p)+5*21p^2=0

Wy multiply elements

105p^2+6p+(-7p)=0

We get rid of parentheses

105p^2+6p-7p=0

We add all the numbers together, and all the variables

105p^2-1p=0

a = 105; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·105·0
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*105}=\frac{0}{210}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*105}=\frac{2}{210}
=1/105
$