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Simplifying 14c2 = 2c Solving 14c2 = 2c Solving for variable 'c'. Reorder the terms: -2c + 14c2 = 2c + -2c Combine like terms: 2c + -2c = 0 -2c + 14c2 = 0 Factor out the Greatest Common Factor (GCF), '2c'. 2c(-1 + 7c) = 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 '(-1 + 7c)' equal to zero and attempt to solve: Simplifying -1 + 7c = 0 Solving -1 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7c = 0 + 1 7c = 0 + 1 Combine like terms: 0 + 1 = 1 7c = 1 Divide each side by '7'. c = 0.1428571429 Simplifying c = 0.1428571429Solution
c = {0, 0.1428571429}
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