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Simplifying c2 = 9c + -1c + 3c + -1c2 Combine like terms: 9c + -1c = 8c c2 = 8c + 3c + -1c2 Combine like terms: 8c + 3c = 11c c2 = 11c + -1c2 Solving c2 = 11c + -1c2 Solving for variable 'c'. Reorder the terms: -11c + c2 + c2 = 11c + -1c2 + -11c + c2 Combine like terms: c2 + c2 = 2c2 -11c + 2c2 = 11c + -1c2 + -11c + c2 Reorder the terms: -11c + 2c2 = 11c + -11c + -1c2 + c2 Combine like terms: 11c + -11c = 0 -11c + 2c2 = 0 + -1c2 + c2 -11c + 2c2 = -1c2 + c2 Combine like terms: -1c2 + c2 = 0 -11c + 2c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-11 + 2c) = 0Subproblem 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 + 2c)' equal to zero and attempt to solve: Simplifying -11 + 2c = 0 Solving -11 + 2c = 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 + 2c = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2c = 0 + 11 2c = 0 + 11 Combine like terms: 0 + 11 = 11 2c = 11 Divide each side by '2'. c = 5.5 Simplifying c = 5.5Solution
c = {0, 5.5}
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