(p+.25)p=p+2p

Solution for (p+.25)p=p+2p equation:

(p+.25)p=p+2p

We move all terms to the left:

(p+.25)p-(p+2p)=0

We add all the numbers together, and all the variables

(p+0.25)p-(+3p)=0

We multiply parentheses

p^2+0.25p-(+3p)=0

We get rid of parentheses

p^2+0.25p-3p=0

We add all the numbers together, and all the variables

p^2-2.75p=0

a = 1; b = -2.75; c = 0;
Δ = b2-4ac
Δ = -2.752-4·1·0
Δ = 7.5625
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{-(-2.75)-\sqrt{7.5625}}{2*1}=\frac{2.75-\sqrt{7.5625}}{2}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.75)+\sqrt{7.5625}}{2*1}=\frac{2.75+\sqrt{7.5625}}{2}
$