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Simplifying c2 = 2c + 99 Reorder the terms: c2 = 99 + 2c Solving c2 = 99 + 2c Solving for variable 'c'. Reorder the terms: -99 + -2c + c2 = 99 + 2c + -99 + -2c Reorder the terms: -99 + -2c + c2 = 99 + -99 + 2c + -2c Combine like terms: 99 + -99 = 0 -99 + -2c + c2 = 0 + 2c + -2c -99 + -2c + c2 = 2c + -2c Combine like terms: 2c + -2c = 0 -99 + -2c + c2 = 0 Factor a trinomial. (-9 + -1c)(11 + -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 '(11 + -1c)' equal to zero and attempt to solve: Simplifying 11 + -1c = 0 Solving 11 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1c = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1c = 0 + -11 -1c = 0 + -11 Combine like terms: 0 + -11 = -11 -1c = -11 Divide each side by '-1'. c = 11 Simplifying c = 11Solution
c = {-9, 11}
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