8/15p-4=2/3p=3/5

Solution for 8/15p-4=2/3p=3/5 equation:

8/15p-4=2/3p=3/5

We move all terms to the left:

8/15p-4-(2/3p)=0


Domain of the equation: 15p!=0

p!=0/15

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

8/15p-(+2/3p)-4=0

We get rid of parentheses

8/15p-2/3p-4=0

We calculate fractions


24p/45p^2+(-30p)/45p^2-4=0

We multiply all the terms by the denominator


24p+(-30p)-4*45p^2=0

Wy multiply elements

-180p^2+24p+(-30p)=0

We get rid of parentheses

-180p^2+24p-30p=0

We add all the numbers together, and all the variables

-180p^2-6p=0

a = -180; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-180)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-180}=\frac{0}{-360}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-180}=\frac{12}{-360}
=-1/30
$