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(P)=8665/8P+20.330
We move all terms to the left:
(P)-(8665/8P+20.330)=0
Domain of the equation: 8P+20.330)!=0We add all the numbers together, and all the variables
P∈R
P-(8665/8P+20.33)=0
We get rid of parentheses
P-8665/8P-20.33=0
We multiply all the terms by the denominator
P*8P-(20.33)*8P-8665=0
We multiply parentheses
P*8P-162.64P-8665=0
Wy multiply elements
8P^2-162.64P-8665=0
a = 8; b = -162.64; c = -8665;
Δ = b2-4ac
Δ = -162.642-4·8·(-8665)
Δ = 303731.7696
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}$$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-162.64)-\sqrt{303731.7696}}{2*8}=\frac{162.64-\sqrt{303731.7696}}{16} $$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-162.64)+\sqrt{303731.7696}}{2*8}=\frac{162.64+\sqrt{303731.7696}}{16} $
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