10+10p=20/p

Solution for 10+10p=20/p equation:

10+10p=20/p

We move all terms to the left:

10+10p-(20/p)=0


Domain of the equation: p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

10p-(+20/p)+10=0

We get rid of parentheses

10p-20/p+10=0

We multiply all the terms by the denominator


10p*p+10*p-20=0

We add all the numbers together, and all the variables

10p+10p*p-20=0

Wy multiply elements

10p^2+10p-20=0

a = 10; b = 10; c = -20;
Δ = b2-4ac
Δ = 102-4·10·(-20)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-30}{2*10}=\frac{-40}{20}
=-2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+30}{2*10}=\frac{20}{20}
=1
$