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Simplifying C2 + C + -72 = 0 Reorder the terms: -72 + C + C2 = 0 Solving -72 + C + C2 = 0 Solving for variable 'C'. Factor a trinomial. (-9 + -1C)(8 + -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 '(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 = 8Solution
C = {-9, 8}
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