250p-5000/250p=0.3

Solution for 250p-5000/250p=0.3 equation:

250p-5000/250p=0.3

We move all terms to the left:

250p-5000/250p-(0.3)=0


Domain of the equation: 250p!=0

p!=0/250

p!=0

p∈R


We add all the numbers together, and all the variables

250p-5000/250p-0.3=0

We multiply all the terms by the denominator


250p*250p-(0.3)*250p-5000=0

We multiply parentheses

250p*250p-75p-5000=0

Wy multiply elements

62500p^2-75p-5000=0

a = 62500; b = -75; c = -5000;
Δ = b2-4ac
Δ = -752-4·62500·(-5000)
Δ = 1250005625
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:

$\sqrt{\Delta}=\sqrt{1250005625}=\sqrt{75625*16529}=\sqrt{75625}*\sqrt{16529}=275\sqrt{16529}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-275\sqrt{16529}}{2*62500}=\frac{75-275\sqrt{16529}}{125000}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+275\sqrt{16529}}{2*62500}=\frac{75+275\sqrt{16529}}{125000}
$