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Simplifying 36 = c2 + 16c Reorder the terms: 36 = 16c + c2 Solving 36 = 16c + c2 Solving for variable 'c'. Reorder the terms: 36 + -16c + -1c2 = 16c + -16c + c2 + -1c2 Combine like terms: 16c + -16c = 0 36 + -16c + -1c2 = 0 + c2 + -1c2 36 + -16c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 36 + -16c + -1c2 = 0 Factor a trinomial. (2 + -1c)(18 + c) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(18 + c)' equal to zero and attempt to solve: Simplifying 18 + c = 0 Solving 18 + c = 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 + c = 0 + -18 Combine like terms: 18 + -18 = 0 0 + c = 0 + -18 c = 0 + -18 Combine like terms: 0 + -18 = -18 c = -18 Simplifying c = -18Solution
c = {2, -18}
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