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Simplifying c2 = 27 + -6c Solving c2 = 27 + -6c Solving for variable 'c'. Reorder the terms: -27 + 6c + c2 = 27 + -6c + -27 + 6c Reorder the terms: -27 + 6c + c2 = 27 + -27 + -6c + 6c Combine like terms: 27 + -27 = 0 -27 + 6c + c2 = 0 + -6c + 6c -27 + 6c + c2 = -6c + 6c Combine like terms: -6c + 6c = 0 -27 + 6c + c2 = 0 Factor a trinomial. (-9 + -1c)(3 + -1c) = 0Subproblem 1
Set the factor '(-9 + -1c)' equal to zero and attempt to solve: Simplifying -9 + -1c = 0 Solving -9 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1c = 0 + 9 -1c = 0 + 9 Combine like terms: 0 + 9 = 9 -1c = 9 Divide each side by '-1'. c = -9 Simplifying c = -9Subproblem 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 = {-9, 3}
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