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Simplifying -2c2 + -6c = c2 + -3c Reorder the terms: -6c + -2c2 = c2 + -3c Reorder the terms: -6c + -2c2 = -3c + c2 Solving -6c + -2c2 = -3c + c2 Solving for variable 'c'. Reorder the terms: -6c + 3c + -2c2 + -1c2 = -3c + c2 + 3c + -1c2 Combine like terms: -6c + 3c = -3c -3c + -2c2 + -1c2 = -3c + c2 + 3c + -1c2 Combine like terms: -2c2 + -1c2 = -3c2 -3c + -3c2 = -3c + c2 + 3c + -1c2 Reorder the terms: -3c + -3c2 = -3c + 3c + c2 + -1c2 Combine like terms: -3c + 3c = 0 -3c + -3c2 = 0 + c2 + -1c2 -3c + -3c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 -3c + -3c2 = 0 Factor out the Greatest Common Factor (GCF), '-3c'. -3c(1 + c) = 0 Ignore the factor -3.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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