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Simplifying 3c + 4c + -8 = 2c2 + 11c + -8 Reorder the terms: -8 + 3c + 4c = 2c2 + 11c + -8 Combine like terms: 3c + 4c = 7c -8 + 7c = 2c2 + 11c + -8 Reorder the terms: -8 + 7c = -8 + 11c + 2c2 Add '8' to each side of the equation. -8 + 8 + 7c = -8 + 11c + 8 + 2c2 Combine like terms: -8 + 8 = 0 0 + 7c = -8 + 11c + 8 + 2c2 7c = -8 + 11c + 8 + 2c2 Reorder the terms: 7c = -8 + 8 + 11c + 2c2 Combine like terms: -8 + 8 = 0 7c = 0 + 11c + 2c2 7c = 11c + 2c2 Solving 7c = 11c + 2c2 Solving for variable 'c'. Combine like terms: 7c + -11c = -4c -4c + -2c2 = 11c + 2c2 + -11c + -2c2 Reorder the terms: -4c + -2c2 = 11c + -11c + 2c2 + -2c2 Combine like terms: 11c + -11c = 0 -4c + -2c2 = 0 + 2c2 + -2c2 -4c + -2c2 = 2c2 + -2c2 Combine like terms: 2c2 + -2c2 = 0 -4c + -2c2 = 0 Factor out the Greatest Common Factor (GCF), '-2c'. -2c(2 + c) = 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 '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Simplifying c = -2Solution
c = {0, -2}
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