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Simplifying c2 + 25c + 24 = 0 Reorder the terms: 24 + 25c + c2 = 0 Solving 24 + 25c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (24 + c)(1 + c) = 0Subproblem 1
Set the factor '(24 + c)' equal to zero and attempt to solve: Simplifying 24 + c = 0 Solving 24 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + c = 0 + -24 Combine like terms: 24 + -24 = 0 0 + c = 0 + -24 c = 0 + -24 Combine like terms: 0 + -24 = -24 c = -24 Simplifying c = -24Subproblem 2
Set the factor '(1 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1Solution
c = {-24, -1}
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