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Simplifying 2c4 + -6c3 = 12c2 + 36c Reorder the terms: -6c3 + 2c4 = 12c2 + 36c Reorder the terms: -6c3 + 2c4 = 36c + 12c2 Solving -6c3 + 2c4 = 36c + 12c2 Solving for variable 'c'. Reorder the terms: -36c + -12c2 + -6c3 + 2c4 = 36c + 12c2 + -36c + -12c2 Reorder the terms: -36c + -12c2 + -6c3 + 2c4 = 36c + -36c + 12c2 + -12c2 Combine like terms: 36c + -36c = 0 -36c + -12c2 + -6c3 + 2c4 = 0 + 12c2 + -12c2 -36c + -12c2 + -6c3 + 2c4 = 12c2 + -12c2 Combine like terms: 12c2 + -12c2 = 0 -36c + -12c2 + -6c3 + 2c4 = 0 Factor out the Greatest Common Factor (GCF), '2c'. 2c(-18 + -6c + -3c2 + 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 = 0Subproblem 2
Set the factor '(-18 + -6c + -3c2 + c3)' equal to zero and attempt to solve: Simplifying -18 + -6c + -3c2 + c3 = 0 Solving -18 + -6c + -3c2 + 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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