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Simplifying 9c2 + 18c + 8 = 0 Reorder the terms: 8 + 18c + 9c2 = 0 Solving 8 + 18c + 9c2 = 0 Solving for variable 'c'. Factor a trinomial. (4 + 3c)(2 + 3c) = 0Subproblem 1
Set the factor '(4 + 3c)' equal to zero and attempt to solve: Simplifying 4 + 3c = 0 Solving 4 + 3c = 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 + 3c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3c = 0 + -4 3c = 0 + -4 Combine like terms: 0 + -4 = -4 3c = -4 Divide each side by '3'. c = -1.333333333 Simplifying c = -1.333333333Subproblem 2
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 = -0.6666666667Solution
c = {-1.333333333, -0.6666666667}
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