5/21p+5=1/4p

Solution for 5/21p+5=1/4p equation:

5/21p+5=1/4p

We move all terms to the left:

5/21p+5-(1/4p)=0


Domain of the equation: 21p!=0

p!=0/21

p!=0

p∈R



Domain of the equation: 4p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

5/21p-(+1/4p)+5=0

We get rid of parentheses

5/21p-1/4p+5=0

We calculate fractions


20p/84p^2+(-21p)/84p^2+5=0

We multiply all the terms by the denominator


20p+(-21p)+5*84p^2=0

Wy multiply elements

420p^2+20p+(-21p)=0

We get rid of parentheses

420p^2+20p-21p=0

We add all the numbers together, and all the variables

420p^2-1p=0

a = 420; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·420·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*420}=\frac{0}{840}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*420}=\frac{2}{840}
=1/420
$