8p/2p=4p

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Solution for 8p/2p=4p equation:



8p/2p=4p
We move all terms to the left:
8p/2p-(4p)=0
Domain of the equation: 2p!=0
p!=0/2
p!=0
p∈R
We add all the numbers together, and all the variables
-4p+8p/2p=0
We multiply all the terms by the denominator
-4p*2p+8p=0
We add all the numbers together, and all the variables
8p-4p*2p=0
Wy multiply elements
-8p^2+8p=0
a = -8; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-8)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-8}=\frac{-16}{-16} =1 $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-8}=\frac{0}{-16} =0 $

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