1/4p+15=3/8p

Solution for 1/4p+15=3/8p equation:

1/4p+15=3/8p

We move all terms to the left:

1/4p+15-(3/8p)=0


Domain of the equation: 4p!=0

p!=0/4

p!=0

p∈R



Domain of the equation: 8p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

1/4p-(+3/8p)+15=0

We get rid of parentheses

1/4p-3/8p+15=0

We calculate fractions


8p/32p^2+(-12p)/32p^2+15=0

We multiply all the terms by the denominator


8p+(-12p)+15*32p^2=0

Wy multiply elements

480p^2+8p+(-12p)=0

We get rid of parentheses

480p^2+8p-12p=0

We add all the numbers together, and all the variables

480p^2-4p=0

a = 480; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·480·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*480}=\frac{0}{960}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*480}=\frac{8}{960}
=1/120
$