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Simplifying 36 = c2 + -5c Reorder the terms: 36 = -5c + c2 Solving 36 = -5c + c2 Solving for variable 'c'. Reorder the terms: 36 + 5c + -1c2 = -5c + 5c + c2 + -1c2 Combine like terms: -5c + 5c = 0 36 + 5c + -1c2 = 0 + c2 + -1c2 36 + 5c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 36 + 5c + -1c2 = 0 Factor a trinomial. (9 + -1c)(4 + c) = 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 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 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 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -4Solution
c = {9, -4}
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