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Simplifying c2 = 16 + -6c Solving c2 = 16 + -6c Solving for variable 'c'. Reorder the terms: -16 + 6c + c2 = 16 + -6c + -16 + 6c Reorder the terms: -16 + 6c + c2 = 16 + -16 + -6c + 6c Combine like terms: 16 + -16 = 0 -16 + 6c + c2 = 0 + -6c + 6c -16 + 6c + c2 = -6c + 6c Combine like terms: -6c + 6c = 0 -16 + 6c + c2 = 0 Factor a trinomial. (-8 + -1c)(2 + -1c) = 0Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve: Simplifying -8 + -1c = 0 Solving -8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = 0 + 8 -1c = 0 + 8 Combine like terms: 0 + 8 = 8 -1c = 8 Divide each side by '-1'. c = -8 Simplifying c = -8Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 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 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {-8, 2}
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