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Simplifying 24c2 + -58c + 9 = 0 Reorder the terms: 9 + -58c + 24c2 = 0 Solving 9 + -58c + 24c2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + -6c)(9 + -4c) = 0Subproblem 1
Set the factor '(1 + -6c)' equal to zero and attempt to solve: Simplifying 1 + -6c = 0 Solving 1 + -6c = 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 + -6c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6c = 0 + -1 -6c = 0 + -1 Combine like terms: 0 + -1 = -1 -6c = -1 Divide each side by '-6'. c = 0.1666666667 Simplifying c = 0.1666666667Subproblem 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 = {0.1666666667, 2.25}
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