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Simplifying c2 + -1c = 36 + 4c Reorder the terms: -1c + c2 = 36 + 4c Solving -1c + c2 = 36 + 4c Solving for variable 'c'. Reorder the terms: -36 + -1c + -4c + c2 = 36 + 4c + -36 + -4c Combine like terms: -1c + -4c = -5c -36 + -5c + c2 = 36 + 4c + -36 + -4c Reorder the terms: -36 + -5c + c2 = 36 + -36 + 4c + -4c Combine like terms: 36 + -36 = 0 -36 + -5c + c2 = 0 + 4c + -4c -36 + -5c + c2 = 4c + -4c Combine like terms: 4c + -4c = 0 -36 + -5c + c2 = 0 Factor a trinomial. (-4 + -1c)(9 + -1c) = 0Subproblem 1
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 = -4Subproblem 2
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 = 9Solution
c = {-4, 9}
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