4/55p=2p+15

Solution for 4/55p=2p+15 equation:

4/55p=2p+15

We move all terms to the left:

4/55p-(2p+15)=0


Domain of the equation: 55p!=0

p!=0/55

p!=0

p∈R


We get rid of parentheses

4/55p-2p-15=0

We multiply all the terms by the denominator


-2p*55p-15*55p+4=0

Wy multiply elements

-110p^2-825p+4=0

a = -110; b = -825; c = +4;
Δ = b2-4ac
Δ = -8252-4·(-110)·4
Δ = 682385
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{-(-825)-\sqrt{682385}}{2*-110}=\frac{825-\sqrt{682385}}{-220}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-825)+\sqrt{682385}}{2*-110}=\frac{825+\sqrt{682385}}{-220}
$