-15+(4/5)p=9

Solution for -15+(4/5)p=9 equation:

-15+(4/5)p=9

We move all terms to the left:

-15+(4/5)p-(9)=0


Domain of the equation: 5)p!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

(+4/5)p-15-9=0

We add all the numbers together, and all the variables

(+4/5)p-24=0

We multiply parentheses

4p^2-24=0

a = 4; b = 0; c = -24;
Δ = b2-4ac
Δ = 02-4·4·(-24)
Δ = 384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{384}=\sqrt{64*6}=\sqrt{64}*\sqrt{6}=8\sqrt{6}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{6}}{2*4}=\frac{0-8\sqrt{6}}{8}
=-\frac{8\sqrt{6}}{8}
=-\sqrt{6}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{6}}{2*4}=\frac{0+8\sqrt{6}}{8}
=\frac{8\sqrt{6}}{8}
=\sqrt{6}
$