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Simplifying 9c3 + -15c + -36c = 0 Reorder the terms: -15c + -36c + 9c3 = 0 Combine like terms: -15c + -36c = -51c -51c + 9c3 = 0 Solving -51c + 9c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c'. 3c(-17 + 3c2) = 0 Ignore the factor 3.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 '(-17 + 3c2)' equal to zero and attempt to solve: Simplifying -17 + 3c2 = 0 Solving -17 + 3c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3c2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 3c2 = 0 + 17 3c2 = 0 + 17 Combine like terms: 0 + 17 = 17 3c2 = 17 Divide each side by '3'. c2 = 5.666666667 Simplifying c2 = 5.666666667 Take the square root of each side: c = {-2.380476143, 2.380476143}Solution
c = {0, -2.380476143, 2.380476143}
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