2c^4-6c^3=12c^3-36c

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Solution for 2c^4-6c^3=12c^3-36c equation: 


Simplifying
2c4 + -6c3 = 12c3 + -36c

Reorder the terms:
-6c3 + 2c4 = 12c3 + -36c

Reorder the terms:
-6c3 + 2c4 = -36c + 12c3

Solving
-6c3 + 2c4 = -36c + 12c3

Solving for variable 'c'.

Reorder the terms:
36c + -6c3 + -12c3 + 2c4 = -36c + 12c3 + 36c + -12c3

Combine like terms: -6c3 + -12c3 = -18c3
36c + -18c3 + 2c4 = -36c + 12c3 + 36c + -12c3

Reorder the terms:
36c + -18c3 + 2c4 = -36c + 36c + 12c3 + -12c3

Combine like terms: -36c + 36c = 0
36c + -18c3 + 2c4 = 0 + 12c3 + -12c3
36c + -18c3 + 2c4 = 12c3 + -12c3

Combine like terms: 12c3 + -12c3 = 0
36c + -18c3 + 2c4 = 0

Factor out the Greatest Common Factor (GCF), '2c'.
2c(18 + -9c2 + c3) = 0

Ignore the factor 2.

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 '(18 + -9c2 + c3)' equal to zero and attempt to solve:

Simplifying
18 + -9c2 + c3 = 0

Solving
18 + -9c2 + 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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