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Simplifying 0 = 9 + -26c + -3c2 Solving 0 = 9 + -26c + -3c2 Solving for variable 'c'. Combine like terms: 0 + -9 = -9 -9 + 26c + 3c2 = 9 + -26c + -3c2 + -9 + 26c + 3c2 Reorder the terms: -9 + 26c + 3c2 = 9 + -9 + -26c + 26c + -3c2 + 3c2 Combine like terms: 9 + -9 = 0 -9 + 26c + 3c2 = 0 + -26c + 26c + -3c2 + 3c2 -9 + 26c + 3c2 = -26c + 26c + -3c2 + 3c2 Combine like terms: -26c + 26c = 0 -9 + 26c + 3c2 = 0 + -3c2 + 3c2 -9 + 26c + 3c2 = -3c2 + 3c2 Combine like terms: -3c2 + 3c2 = 0 -9 + 26c + 3c2 = 0 Factor a trinomial. (-9 + -1c)(1 + -3c) = 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 '(1 + -3c)' equal to zero and attempt to solve: Simplifying 1 + -3c = 0 Solving 1 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3c = 0 + -1 -3c = 0 + -1 Combine like terms: 0 + -1 = -1 -3c = -1 Divide each side by '-3'. c = 0.3333333333 Simplifying c = 0.3333333333Solution
c = {-9, 0.3333333333}
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