6p+3=2/3p

Solution for 6p+3=2/3p equation:

6p+3=2/3p

We move all terms to the left:

6p+3-(2/3p)=0


Domain of the equation: 3p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

6p-(+2/3p)+3=0

We get rid of parentheses

6p-2/3p+3=0

We multiply all the terms by the denominator


6p*3p+3*3p-2=0

Wy multiply elements

18p^2+9p-2=0

a = 18; b = 9; c = -2;
Δ = b2-4ac
Δ = 92-4·18·(-2)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-15}{2*18}=\frac{-24}{36}
=-2/3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+15}{2*18}=\frac{6}{36}
=1/6
$