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Simplifying c2 = 8c + -16 Reorder the terms: c2 = -16 + 8c Solving c2 = -16 + 8c Solving for variable 'c'. Reorder the terms: 16 + -8c + c2 = -16 + 8c + 16 + -8c Reorder the terms: 16 + -8c + c2 = -16 + 16 + 8c + -8c Combine like terms: -16 + 16 = 0 16 + -8c + c2 = 0 + 8c + -8c 16 + -8c + c2 = 8c + -8c Combine like terms: 8c + -8c = 0 16 + -8c + c2 = 0 Factor a trinomial. (4 + -1c)(4 + -1c) = 0Subproblem 1
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Subproblem 2
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {4, 4}
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