Pc=-15c(c-8)

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Solution for Pc=-15c(c-8) equation: 


Simplifying
Pc = -15c(c + -8)

Reorder the terms:
cP = -15c(-8 + c)
cP = (-8 * -15c + c * -15c)
cP = (120c + -15c2)

Solving
cP = 120c + -15c2

Solving for variable 'c'.

Reorder the terms:
-120c + cP + 15c2 = 120c + -15c2 + -120c + 15c2

Reorder the terms:
-120c + cP + 15c2 = 120c + -120c + -15c2 + 15c2

Combine like terms: 120c + -120c = 0
-120c + cP + 15c2 = 0 + -15c2 + 15c2
-120c + cP + 15c2 = -15c2 + 15c2

Combine like terms: -15c2 + 15c2 = 0
-120c + cP + 15c2 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-120 + P + 15c) = 0


Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(-120 + P + 15c)' equal to zero and attempt to solve:

Simplifying
-120 + P + 15c = 0

Solving
-120 + P + 15c = 0

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

Add '120' to each side of the equation.
-120 + P + 120 + 15c = 0 + 120

Reorder the terms:
-120 + 120 + P + 15c = 0 + 120

Combine like terms: -120 + 120 = 0
0 + P + 15c = 0 + 120
P + 15c = 0 + 120

Combine like terms: 0 + 120 = 120
P + 15c = 120

Add '-1P' to each side of the equation.
P + -1P + 15c = 120 + -1P

Combine like terms: P + -1P = 0
0 + 15c = 120 + -1P
15c = 120 + -1P

Divide each side by '15'.
c = 8 + -0.06666666667P

Simplifying
c = 8 + -0.06666666667P
Solution
c = {0, 8 + -0.06666666667P}

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