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Simplifying 27c2 + -24c + 18c + -16 = 0 Reorder the terms: -16 + -24c + 18c + 27c2 = 0 Combine like terms: -24c + 18c = -6c -16 + -6c + 27c2 = 0 Solving -16 + -6c + 27c2 = 0 Solving for variable 'c'. Factor a trinomial. (-2 + -3c)(8 + -9c) = 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 '(8 + -9c)' equal to zero and attempt to solve: Simplifying 8 + -9c = 0 Solving 8 + -9c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9c = 0 + -8 -9c = 0 + -8 Combine like terms: 0 + -8 = -8 -9c = -8 Divide each side by '-9'. c = 0.8888888889 Simplifying c = 0.8888888889Solution
c = {-0.6666666667, 0.8888888889}
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