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Simplifying 8c2 + -13c + 5 = 0 Reorder the terms: 5 + -13c + 8c2 = 0 Solving 5 + -13c + 8c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + -8c)(1 + -1c) = 0Subproblem 1
Set the factor '(5 + -8c)' equal to zero and attempt to solve: Simplifying 5 + -8c = 0 Solving 5 + -8c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8c = 0 + -5 -8c = 0 + -5 Combine like terms: 0 + -5 = -5 -8c = -5 Divide each side by '-8'. c = 0.625 Simplifying c = 0.625Subproblem 2
Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 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 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Solution
c = {0.625, 1}
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