C(x)=0.2x^2-80x+10000

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Solution for C(x)=0.2x^2-80x+10000 equation: 


Simplifying
C(x) = 0.2x2 + -80x + 10000

Multiply C * x
xC = 0.2x2 + -80x + 10000

Reorder the terms:
xC = 10000 + -80x + 0.2x2

Solving
xC = 10000 + -80x + 0.2x2

Solving for variable 'x'.

Reorder the terms:
-10000 + 80x + xC + -0.2x2 = 10000 + -80x + 0.2x2 + -10000 + 80x + -0.2x2

Reorder the terms:
-10000 + 80x + xC + -0.2x2 = 10000 + -10000 + -80x + 80x + 0.2x2 + -0.2x2

Combine like terms: 10000 + -10000 = 0
-10000 + 80x + xC + -0.2x2 = 0 + -80x + 80x + 0.2x2 + -0.2x2
-10000 + 80x + xC + -0.2x2 = -80x + 80x + 0.2x2 + -0.2x2

Combine like terms: -80x + 80x = 0
-10000 + 80x + xC + -0.2x2 = 0 + 0.2x2 + -0.2x2
-10000 + 80x + xC + -0.2x2 = 0.2x2 + -0.2x2

Combine like terms: 0.2x2 + -0.2x2 = 0.0
-10000 + 80x + xC + -0.2x2 = 0.0

The solution to this equation could not be determined.

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