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Simplifying c2 = 36 + -5c Solving c2 = 36 + -5c Solving for variable 'c'. Reorder the terms: -36 + 5c + c2 = 36 + -5c + -36 + 5c Reorder the terms: -36 + 5c + c2 = 36 + -36 + -5c + 5c Combine like terms: 36 + -36 = 0 -36 + 5c + c2 = 0 + -5c + 5c -36 + 5c + c2 = -5c + 5c Combine like terms: -5c + 5c = 0 -36 + 5c + c2 = 0 Factor a trinomial. (-9 + -1c)(4 + -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 '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-9, 4}
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