12/15p-10=2/3p

Solution for 12/15p-10=2/3p equation:

12/15p-10=2/3p

We move all terms to the left:

12/15p-10-(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

12/15p-(+2/3p)-10=0

We get rid of parentheses

12/15p-2/3p-10=0

We calculate fractions


36p/45p^2+(-30p)/45p^2-10=0

We multiply all the terms by the denominator


36p+(-30p)-10*45p^2=0

Wy multiply elements

-450p^2+36p+(-30p)=0

We get rid of parentheses

-450p^2+36p-30p=0

We add all the numbers together, and all the variables

-450p^2+6p=0

a = -450; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-450)·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*-450}=\frac{-12}{-900}
=1/75
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-450}=\frac{0}{-900}
=0
$