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Simplifying c2 + 15c + 56 = 0 Reorder the terms: 56 + 15c + c2 = 0 Solving 56 + 15c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (8 + c)(7 + c) = 0Subproblem 1
Set the factor '(8 + c)' equal to zero and attempt to solve: Simplifying 8 + c = 0 Solving 8 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + c = 0 + -8 c = 0 + -8 Combine like terms: 0 + -8 = -8 c = -8 Simplifying c = -8Subproblem 2
Set the factor '(7 + c)' equal to zero and attempt to solve: Simplifying 7 + c = 0 Solving 7 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + c = 0 + -7 c = 0 + -7 Combine like terms: 0 + -7 = -7 c = -7 Simplifying c = -7Solution
c = {-8, -7}
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