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Simplifying 2c(5 + -1c) + 12c = 0 (5 * 2c + -1c * 2c) + 12c = 0 (10c + -2c2) + 12c = 0 Reorder the terms: 10c + 12c + -2c2 = 0 Combine like terms: 10c + 12c = 22c 22c + -2c2 = 0 Solving 22c + -2c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(11 + -1c) = 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 + -1c)' equal to zero and attempt to solve: Simplifying 11 + -1c = 0 Solving 11 + -1c = 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 + -1c = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1c = 0 + -11 -1c = 0 + -11 Combine like terms: 0 + -11 = -11 -1c = -11 Divide each side by '-1'. c = 11 Simplifying c = 11Solution
c = {0, 11}
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