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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 Take the square root of each side: c = {-0.816496581, 0.816496581}Solution
c = {0, -0.816496581, 0.816496581}
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