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Simplifying c2 = 24 + -5c Solving c2 = 24 + -5c Solving for variable 'c'. Reorder the terms: -24 + 5c + c2 = 24 + -5c + -24 + 5c Reorder the terms: -24 + 5c + c2 = 24 + -24 + -5c + 5c Combine like terms: 24 + -24 = 0 -24 + 5c + c2 = 0 + -5c + 5c -24 + 5c + c2 = -5c + 5c Combine like terms: -5c + 5c = 0 -24 + 5c + c2 = 0 Factor a trinomial. (-8 + -1c)(3 + -1c) = 0Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve: Simplifying -8 + -1c = 0 Solving -8 + -1c = 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 + -1c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = 0 + 8 -1c = 0 + 8 Combine like terms: 0 + 8 = 8 -1c = 8 Divide each side by '-1'. c = -8 Simplifying c = -8Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {-8, 3}
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