C(q)=30-0.1q+0.005q^2

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Solution for C(q)=30-0.1q+0.005q^2 equation: 


Simplifying
C(q) = 30 + -0.1q + 0.005q2

Multiply C * q
qC = 30 + -0.1q + 0.005q2

Solving
qC = 30 + -0.1q + 0.005q2

Solving for variable 'q'.

Reorder the terms:
-30 + 0.1q + qC + -0.005q2 = 30 + -0.1q + 0.005q2 + -30 + 0.1q + -0.005q2

Reorder the terms:
-30 + 0.1q + qC + -0.005q2 = 30 + -30 + -0.1q + 0.1q + 0.005q2 + -0.005q2

Combine like terms: 30 + -30 = 0
-30 + 0.1q + qC + -0.005q2 = 0 + -0.1q + 0.1q + 0.005q2 + -0.005q2
-30 + 0.1q + qC + -0.005q2 = -0.1q + 0.1q + 0.005q2 + -0.005q2

Combine like terms: -0.1q + 0.1q = 0.0
-30 + 0.1q + qC + -0.005q2 = 0.0 + 0.005q2 + -0.005q2
-30 + 0.1q + qC + -0.005q2 = 0.005q2 + -0.005q2

Combine like terms: 0.005q2 + -0.005q2 = 0.000
-30 + 0.1q + qC + -0.005q2 = 0.000

The solution to this equation could not be determined.

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