(-c^4+2c^3+7c)+(2c^4+c^3-5c^3-5c^2+2c)=

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Solution for (-c^4+2c^3+7c)+(2c^4+c^3-5c^3-5c^2+2c)= equation: 


Simplifying
(-1c4 + 2c3 + 7c) + (2c4 + c3 + -5c3 + -5c2 + 2c) = 0

Reorder the terms:
(7c + 2c3 + -1c4) + (2c4 + c3 + -5c3 + -5c2 + 2c) = 0

Remove parenthesis around (7c + 2c3 + -1c4)
7c + 2c3 + -1c4 + (2c4 + c3 + -5c3 + -5c2 + 2c) = 0

Reorder the terms:
7c + 2c3 + -1c4 + (2c + -5c2 + c3 + -5c3 + 2c4) = 0

Combine like terms: c3 + -5c3 = -4c3
7c + 2c3 + -1c4 + (2c + -5c2 + -4c3 + 2c4) = 0

Remove parenthesis around (2c + -5c2 + -4c3 + 2c4)
7c + 2c3 + -1c4 + 2c + -5c2 + -4c3 + 2c4 = 0

Reorder the terms:
7c + 2c + -5c2 + 2c3 + -4c3 + -1c4 + 2c4 = 0

Combine like terms: 7c + 2c = 9c
9c + -5c2 + 2c3 + -4c3 + -1c4 + 2c4 = 0

Combine like terms: 2c3 + -4c3 = -2c3
9c + -5c2 + -2c3 + -1c4 + 2c4 = 0

Combine like terms: -1c4 + 2c4 = 1c4
9c + -5c2 + -2c3 + 1c4 = 0

Solving
9c + -5c2 + -2c3 + 1c4 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(9 + -5c + -2c2 + c3) = 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 '(9 + -5c + -2c2 + c3)' equal to zero and attempt to solve:

Simplifying
9 + -5c + -2c2 + c3 = 0

Solving
9 + -5c + -2c2 + c3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
c = {0}

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