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Simplifying c2 = 18 + -3c Solving c2 = 18 + -3c Solving for variable 'c'. Reorder the terms: -18 + 3c + c2 = 18 + -3c + -18 + 3c Reorder the terms: -18 + 3c + c2 = 18 + -18 + -3c + 3c Combine like terms: 18 + -18 = 0 -18 + 3c + c2 = 0 + -3c + 3c -18 + 3c + c2 = -3c + 3c Combine like terms: -3c + 3c = 0 -18 + 3c + c2 = 0 Factor a trinomial. (-6 + -1c)(3 + -1c) = 0Subproblem 1
Set the factor '(-6 + -1c)' equal to zero and attempt to solve: Simplifying -6 + -1c = 0 Solving -6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1c = 0 + 6 -1c = 0 + 6 Combine like terms: 0 + 6 = 6 -1c = 6 Divide each side by '-1'. c = -6 Simplifying c = -6Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {-6, 3}
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