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Simplifying -16c2 + -16c + -5 = -5 + -17c2 Reorder the terms: -5 + -16c + -16c2 = -5 + -17c2 Add '5' to each side of the equation. -5 + -16c + 5 + -16c2 = -5 + 5 + -17c2 Reorder the terms: -5 + 5 + -16c + -16c2 = -5 + 5 + -17c2 Combine like terms: -5 + 5 = 0 0 + -16c + -16c2 = -5 + 5 + -17c2 -16c + -16c2 = -5 + 5 + -17c2 Combine like terms: -5 + 5 = 0 -16c + -16c2 = 0 + -17c2 -16c + -16c2 = -17c2 Solving -16c + -16c2 = -17c2 Solving for variable 'c'. Combine like terms: -16c2 + 17c2 = 1c2 -16c + 1c2 = -17c2 + 17c2 Combine like terms: -17c2 + 17c2 = 0 -16c + 1c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-16 + c) = 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 '(-16 + c)' equal to zero and attempt to solve: Simplifying -16 + c = 0 Solving -16 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + c = 0 + 16 Combine like terms: -16 + 16 = 0 0 + c = 0 + 16 c = 0 + 16 Combine like terms: 0 + 16 = 16 c = 16 Simplifying c = 16Solution
c = {0, 16}
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