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Simplifying 0 = 10c + 10c2 Solving 0 = 10c + 10c2 Solving for variable 'c'. Remove the zero: -10c + -10c2 = 10c + 10c2 + -10c + -10c2 Reorder the terms: -10c + -10c2 = 10c + -10c + 10c2 + -10c2 Combine like terms: 10c + -10c = 0 -10c + -10c2 = 0 + 10c2 + -10c2 -10c + -10c2 = 10c2 + -10c2 Combine like terms: 10c2 + -10c2 = 0 -10c + -10c2 = 0 Factor out the Greatest Common Factor (GCF), '-10c'. -10c(1 + c) = 0 Ignore the factor -10.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 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 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 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1Solution
c = {0, -1}
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