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Simplifying c2 + 15c + 26 = 0 Reorder the terms: 26 + 15c + c2 = 0 Solving 26 + 15c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (13 + c)(2 + c) = 0Subproblem 1
Set the factor '(13 + c)' equal to zero and attempt to solve: Simplifying 13 + c = 0 Solving 13 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + c = 0 + -13 Combine like terms: 13 + -13 = 0 0 + c = 0 + -13 c = 0 + -13 Combine like terms: 0 + -13 = -13 c = -13 Simplifying c = -13Subproblem 2
Set the factor '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 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 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Simplifying c = -2Solution
c = {-13, -2}
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