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Simplifying (4c2 + 3c + -2) + (3c2 + 4c + 2) = 0 Reorder the terms: (-2 + 3c + 4c2) + (3c2 + 4c + 2) = 0 Remove parenthesis around (-2 + 3c + 4c2) -2 + 3c + 4c2 + (3c2 + 4c + 2) = 0 Reorder the terms: -2 + 3c + 4c2 + (2 + 4c + 3c2) = 0 Remove parenthesis around (2 + 4c + 3c2) -2 + 3c + 4c2 + 2 + 4c + 3c2 = 0 Reorder the terms: -2 + 2 + 3c + 4c + 4c2 + 3c2 = 0 Combine like terms: -2 + 2 = 0 0 + 3c + 4c + 4c2 + 3c2 = 0 3c + 4c + 4c2 + 3c2 = 0 Combine like terms: 3c + 4c = 7c 7c + 4c2 + 3c2 = 0 Combine like terms: 4c2 + 3c2 = 7c2 7c + 7c2 = 0 Solving 7c + 7c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '7c'. 7c(1 + c) = 0 Ignore the factor 7.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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