3/2*p-4=20

Solution for 3/2*p-4=20 equation:

3/2*p-4=20

We move all terms to the left:

3/2*p-4-(20)=0


Domain of the equation: 2*p!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

3/2*p-24=0

We multiply all the terms by the denominator


-24*2*p+3=0

Wy multiply elements

-48p*p+3=0

Wy multiply elements

-48p^2+3=0

a = -48; b = 0; c = +3;
Δ = b2-4ac
Δ = 02-4·(-48)·3
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-48}=\frac{-24}{-96}
=1/4
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-48}=\frac{24}{-96}
=-1/4
$