3p+2/p-3=4

Solution for 3p+2/p-3=4 equation:

3p+2/p-3=4

We move all terms to the left:

3p+2/p-3-(4)=0


Domain of the equation: p!=0

p∈R


We add all the numbers together, and all the variables

3p+2/p-7=0

We multiply all the terms by the denominator


3p*p-7*p+2=0

We add all the numbers together, and all the variables

-7p+3p*p+2=0

Wy multiply elements

3p^2-7p+2=0

a = 3; b = -7; c = +2;
Δ = b2-4ac
Δ = -72-4·3·2
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-5}{2*3}=\frac{2}{6}
=1/3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+5}{2*3}=\frac{12}{6}
=2
$