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Simplifying 12c2 + -17c + 6 = 0 Reorder the terms: 6 + -17c + 12c2 = 0 Solving 6 + -17c + 12c2 = 0 Solving for variable 'c'. Factor a trinomial. (2 + -3c)(3 + -4c) = 0Subproblem 1
Set the factor '(2 + -3c)' equal to zero and attempt to solve: Simplifying 2 + -3c = 0 Solving 2 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 0 + -2 -3c = 0 + -2 Combine like terms: 0 + -2 = -2 -3c = -2 Divide each side by '-3'. c = 0.6666666667 Simplifying c = 0.6666666667Subproblem 2
Set the factor '(3 + -4c)' equal to zero and attempt to solve: Simplifying 3 + -4c = 0 Solving 3 + -4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4c = 0 + -3 -4c = 0 + -3 Combine like terms: 0 + -3 = -3 -4c = -3 Divide each side by '-4'. c = 0.75 Simplifying c = 0.75Solution
c = {0.6666666667, 0.75}
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