c(q)+6000+10qR(q)=12

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Solution for c(q)+6000+10qR(q)=12 equation: 


Simplifying
c(q) + 6000 + 10qR(q) = 12

Multiply c * q
cq + 6000 + 10qR(q) = 12

Multiply qR * q
cq + 6000 + 10q2R = 12

Reorder the terms:
6000 + cq + 10q2R = 12

Solving
6000 + cq + 10q2R = 12

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-6000' to each side of the equation.
6000 + cq + -6000 + 10q2R = 12 + -6000

Reorder the terms:
6000 + -6000 + cq + 10q2R = 12 + -6000

Combine like terms: 6000 + -6000 = 0
0 + cq + 10q2R = 12 + -6000
cq + 10q2R = 12 + -6000

Combine like terms: 12 + -6000 = -5988
cq + 10q2R = -5988

Add '-10q2R' to each side of the equation.
cq + 10q2R + -10q2R = -5988 + -10q2R

Combine like terms: 10q2R + -10q2R = 0
cq + 0 = -5988 + -10q2R
cq = -5988 + -10q2R

Divide each side by 'q'.
c = -5988q-1 + -10qR

Simplifying
c = -5988q-1 + -10qR

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