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Simplifying 2c + -6c2 + 14c = 0 Reorder the terms: 2c + 14c + -6c2 = 0 Combine like terms: 2c + 14c = 16c 16c + -6c2 = 0 Solving 16c + -6c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(8 + -3c) = 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 '(8 + -3c)' equal to zero and attempt to solve: Simplifying 8 + -3c = 0 Solving 8 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3c = 0 + -8 -3c = 0 + -8 Combine like terms: 0 + -8 = -8 -3c = -8 Divide each side by '-3'. c = 2.666666667 Simplifying c = 2.666666667Solution
c = {0, 2.666666667}
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