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Simplifying c2 + -26c = 56 Reorder the terms: -26c + c2 = 56 Solving -26c + c2 = 56 Solving for variable 'c'. Reorder the terms: -56 + -26c + c2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + -26c + c2 = 0 Factor a trinomial. (-2 + -1c)(28 + -1c) = 0Subproblem 1
Set the factor '(-2 + -1c)' equal to zero and attempt to solve: Simplifying -2 + -1c = 0 Solving -2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 0 + 2 -1c = 0 + 2 Combine like terms: 0 + 2 = 2 -1c = 2 Divide each side by '-1'. c = -2 Simplifying c = -2Subproblem 2
Set the factor '(28 + -1c)' equal to zero and attempt to solve: Simplifying 28 + -1c = 0 Solving 28 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1c = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1c = 0 + -28 -1c = 0 + -28 Combine like terms: 0 + -28 = -28 -1c = -28 Divide each side by '-1'. c = 28 Simplifying c = 28Solution
c = {-2, 28}
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