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

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


Simplifying
2c4 + -6c4 = 12c2 + -36c

Combine like terms: 2c4 + -6c4 = -4c4
-4c4 = 12c2 + -36c

Reorder the terms:
-4c4 = -36c + 12c2

Solving
-4c4 = -36c + 12c2

Solving for variable 'c'.

Reorder the terms:
36c + -12c2 + -4c4 = -36c + 12c2 + 36c + -12c2

Reorder the terms:
36c + -12c2 + -4c4 = -36c + 36c + 12c2 + -12c2

Combine like terms: -36c + 36c = 0
36c + -12c2 + -4c4 = 0 + 12c2 + -12c2
36c + -12c2 + -4c4 = 12c2 + -12c2

Combine like terms: 12c2 + -12c2 = 0
36c + -12c2 + -4c4 = 0

Factor out the Greatest Common Factor (GCF), '4c'.
4c(9 + -3c + -1c3) = 0

Ignore the factor 4.

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 + -3c + -1c3)' equal to zero and attempt to solve:

Simplifying
9 + -3c + -1c3 = 0

Solving
9 + -3c + -1c3 = 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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