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Simplifying 20c2 + -61c + 36 = 0 Reorder the terms: 36 + -61c + 20c2 = 0 Solving 36 + -61c + 20c2 = 0 Solving for variable 'c'. Factor a trinomial. (4 + -5c)(9 + -4c) = 0Subproblem 1
Set the factor '(4 + -5c)' equal to zero and attempt to solve: Simplifying 4 + -5c = 0 Solving 4 + -5c = 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 + -5c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = 0 + -4 -5c = 0 + -4 Combine like terms: 0 + -4 = -4 -5c = -4 Divide each side by '-5'. c = 0.8 Simplifying c = 0.8Subproblem 2
Set the factor '(9 + -4c)' equal to zero and attempt to solve: Simplifying 9 + -4c = 0 Solving 9 + -4c = 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 + -4c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4c = 0 + -9 -4c = 0 + -9 Combine like terms: 0 + -9 = -9 -4c = -9 Divide each side by '-4'. c = 2.25 Simplifying c = 2.25Solution
c = {0.8, 2.25}
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