4/5*p=20

Solution for 4/5*p=20 equation:

4/5*p=20

We move all terms to the left:

4/5*p-(20)=0


Domain of the equation: 5*p!=0

p!=0/1

p!=0

p∈R


We multiply all the terms by the denominator


-20*5*p+4=0

Wy multiply elements

-100p*p+4=0

Wy multiply elements

-100p^2+4=0

a = -100; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-100)·4
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*-100}=\frac{-40}{-200}
=1/5
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*-100}=\frac{40}{-200}
=-1/5
$