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Simplifying 51c3 + 34c = 0 Reorder the terms: 34c + 51c3 = 0 Solving 34c + 51c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '17c'. 17c(2 + 3c2) = 0 Ignore the factor 17.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 '(2 + 3c2)' equal to zero and attempt to solve: Simplifying 2 + 3c2 = 0 Solving 2 + 3c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3c2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3c2 = 0 + -2 3c2 = 0 + -2 Combine like terms: 0 + -2 = -2 3c2 = -2 Divide each side by '3'. c2 = -0.6666666667 Simplifying c2 = -0.6666666667 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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