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Simplifying c2 + -22c + -968 = 0 Reorder the terms: -968 + -22c + c2 = 0 Solving -968 + -22c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-22 + -1c)(44 + -1c) = 0Subproblem 1
Set the factor '(-22 + -1c)' equal to zero and attempt to solve: Simplifying -22 + -1c = 0 Solving -22 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1c = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1c = 0 + 22 -1c = 0 + 22 Combine like terms: 0 + 22 = 22 -1c = 22 Divide each side by '-1'. c = -22 Simplifying c = -22Subproblem 2
Set the factor '(44 + -1c)' equal to zero and attempt to solve: Simplifying 44 + -1c = 0 Solving 44 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1c = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1c = 0 + -44 -1c = 0 + -44 Combine like terms: 0 + -44 = -44 -1c = -44 Divide each side by '-1'. c = 44 Simplifying c = 44Solution
c = {-22, 44}
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