3p*p+4p=20

Solution for 3p*p+4p=20 equation:

3p*p+4p=20

We move all terms to the left:

3p*p+4p-(20)=0

We add all the numbers together, and all the variables

4p+3p*p-20=0

Wy multiply elements

3p^2+4p-20=0

a = 3; b = 4; c = -20;
Δ = b2-4ac
Δ = 42-4·3·(-20)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-16}{2*3}=\frac{-20}{6}
=-3+1/3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+16}{2*3}=\frac{12}{6}
=2
$