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Simplifying 2c3 + 14c + -36c = 0 Reorder the terms: 14c + -36c + 2c3 = 0 Combine like terms: 14c + -36c = -22c -22c + 2c3 = 0 Solving -22c + 2c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(-11 + c2) = 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 '(-11 + c2)' equal to zero and attempt to solve: Simplifying -11 + c2 = 0 Solving -11 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + c2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + c2 = 0 + 11 c2 = 0 + 11 Combine like terms: 0 + 11 = 11 c2 = 11 Simplifying c2 = 11 Take the square root of each side: c = {-3.31662479, 3.31662479}Solution
c = {0, -3.31662479, 3.31662479}
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