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Simplifying 9c2 + -26c + -20 = 20 Reorder the terms: -20 + -26c + 9c2 = 20 Solving -20 + -26c + 9c2 = 20 Solving for variable 'c'. Reorder the terms: -20 + -20 + -26c + 9c2 = 20 + -20 Combine like terms: -20 + -20 = -40 -40 + -26c + 9c2 = 20 + -20 Combine like terms: 20 + -20 = 0 -40 + -26c + 9c2 = 0 Factor a trinomial. (-10 + -9c)(4 + -1c) = 0Subproblem 1
Set the factor '(-10 + -9c)' equal to zero and attempt to solve: Simplifying -10 + -9c = 0 Solving -10 + -9c = 0 Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9c = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9c = 0 + 10 -9c = 0 + 10 Combine like terms: 0 + 10 = 10 -9c = 10 Divide each side by '-9'. c = -1.111111111 Simplifying c = -1.111111111Subproblem 2
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 = 4Solution
c = {-1.111111111, 4}
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