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Simplifying c2 + -22c + 72 = 0 Reorder the terms: 72 + -22c + c2 = 0 Solving 72 + -22c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (4 + -1c)(18 + -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 '(18 + -1c)' equal to zero and attempt to solve: Simplifying 18 + -1c = 0 Solving 18 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1c = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1c = 0 + -18 -1c = 0 + -18 Combine like terms: 0 + -18 = -18 -1c = -18 Divide each side by '-1'. c = 18 Simplifying c = 18Solution
c = {4, 18}
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