P(c)=-.5c^2+1.50c+250

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Solution for P(c)=-.5c^2+1.50c+250 equation: 


Simplifying
P(c) = -0.5c2 + 1.50c + 250

Multiply P * c
cP = -0.5c2 + 1.50c + 250

Reorder the terms:
cP = 250 + 1.50c + -0.5c2

Solving
cP = 250 + 1.50c + -0.5c2

Solving for variable 'c'.

Reorder the terms:
-250 + -1.50c + cP + 0.5c2 = 250 + 1.50c + -0.5c2 + -250 + -1.50c + 0.5c2

Reorder the terms:
-250 + -1.50c + cP + 0.5c2 = 250 + -250 + 1.50c + -1.50c + -0.5c2 + 0.5c2

Combine like terms: 250 + -250 = 0
-250 + -1.50c + cP + 0.5c2 = 0 + 1.50c + -1.50c + -0.5c2 + 0.5c2
-250 + -1.50c + cP + 0.5c2 = 1.50c + -1.50c + -0.5c2 + 0.5c2

Combine like terms: 1.50c + -1.50c = 0.00
-250 + -1.50c + cP + 0.5c2 = 0.00 + -0.5c2 + 0.5c2
-250 + -1.50c + cP + 0.5c2 = -0.5c2 + 0.5c2

Combine like terms: -0.5c2 + 0.5c2 = 0.0
-250 + -1.50c + cP + 0.5c2 = 0.0

The solution to this equation could not be determined.

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