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Simplifying c2 + -24c + 144 = 0 Reorder the terms: 144 + -24c + c2 = 0 Solving 144 + -24c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (12 + -1c)(12 + -1c) = 0Subproblem 1
Set the factor '(12 + -1c)' equal to zero and attempt to solve: Simplifying 12 + -1c = 0 Solving 12 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1c = 0 + -12 -1c = 0 + -12 Combine like terms: 0 + -12 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12Subproblem 2
Set the factor '(12 + -1c)' equal to zero and attempt to solve: Simplifying 12 + -1c = 0 Solving 12 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1c = 0 + -12 -1c = 0 + -12 Combine like terms: 0 + -12 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12Solution
c = {12, 12}
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