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=(22+P)(154-6P)
We move all terms to the left:
-((22+P)(154-6P))=0
We add all the numbers together, and all the variables
-((P+22)(-6P+154))=0
We multiply parentheses ..
-((-6P^2+154P-132P+3388))=0
We calculate terms in parentheses: -((-6P^2+154P-132P+3388)), so:We get rid of parentheses
(-6P^2+154P-132P+3388)
We get rid of parentheses
-6P^2+154P-132P+3388
We add all the numbers together, and all the variables
-6P^2+22P+3388
Back to the equation:
-(-6P^2+22P+3388)
6P^2-22P-3388=0
a = 6; b = -22; c = -3388;
Δ = b2-4ac
Δ = -222-4·6·(-3388)
Δ = 81796
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{81796}=286$$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-286}{2*6}=\frac{-264}{12} =-22 $$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+286}{2*6}=\frac{308}{12} =25+2/3 $
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