4/17p+3=1/5p

Solution for 4/17p+3=1/5p equation:

4/17p+3=1/5p

We move all terms to the left:

4/17p+3-(1/5p)=0


Domain of the equation: 17p!=0

p!=0/17

p!=0

p∈R



Domain of the equation: 5p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

4/17p-(+1/5p)+3=0

We get rid of parentheses

4/17p-1/5p+3=0

We calculate fractions


20p/85p^2+(-17p)/85p^2+3=0

We multiply all the terms by the denominator


20p+(-17p)+3*85p^2=0

Wy multiply elements

255p^2+20p+(-17p)=0

We get rid of parentheses

255p^2+20p-17p=0

We add all the numbers together, and all the variables

255p^2+3p=0

a = 255; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·255·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*255}=\frac{-6}{510}
=-1/85
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*255}=\frac{0}{510}
=0
$