8=(7/p)p

Solution for 8=(7/p)p equation:

8=(7/p)p

We move all terms to the left:

8-((7/p)p)=0


Domain of the equation: p)p)!=0

p!=0/1

p!=0

p∈R


We add all the numbers together, and all the variables

-((+7/p)p)+8=0

We multiply all the terms by the denominator


-((+7+8*p)p)=0


We calculate terms in parentheses: -((+7+8*p)p), so:

(+7+8*p)p

We add all the numbers together, and all the variables

(8p+7)p

We multiply parentheses

8p^2+7p

Back to the equation:

-(8p^2+7p)


We get rid of parentheses

-8p^2-7p=0

a = -8; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·(-8)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*-8}=\frac{0}{-16}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*-8}=\frac{14}{-16}
=-7/8
$