4p+2=4/3p+3

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

4p+2=4/3p+3

We move all terms to the left:

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


Domain of the equation: 3p+3)!=0

p∈R


We get rid of parentheses

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

We multiply all the terms by the denominator


4p*3p-3*3p+2*3p-4=0

Wy multiply elements

12p^2-9p+6p-4=0

We add all the numbers together, and all the variables

12p^2-3p-4=0

a = 12; b = -3; c = -4;
Δ = b2-4ac
Δ = -32-4·12·(-4)
Δ = 201
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{201}}{2*12}=\frac{3-\sqrt{201}}{24}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{201}}{2*12}=\frac{3+\sqrt{201}}{24}
$