-11/6p-5/3p=21/4

Solution for -11/6p-5/3p=21/4 equation:

-11/6p-5/3p=21/4

We move all terms to the left:

-11/6p-5/3p-(21/4)=0


Domain of the equation: 6p!=0

p!=0/6

p!=0

p∈R



Domain of the equation: 3p!=0

p!=0/3

p!=0

p∈R


We add all the numbers together, and all the variables

-11/6p-5/3p-(+21/4)=0

We get rid of parentheses

-11/6p-5/3p-21/4=0

We calculate fractions


(-1134p^2)/288p^2+(-528p)/288p^2+(-480p)/288p^2=0

We multiply all the terms by the denominator


(-1134p^2)+(-528p)+(-480p)=0

We get rid of parentheses

-1134p^2-528p-480p=0

We add all the numbers together, and all the variables

-1134p^2-1008p=0

a = -1134; b = -1008; c = 0;
Δ = b2-4ac
Δ = -10082-4·(-1134)·0
Δ = 1016064
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1016064}=1008$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1008)-1008}{2*-1134}=\frac{0}{-2268}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1008)+1008}{2*-1134}=\frac{2016}{-2268}
=-8/9
$