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Simplifying 3c(3c + -1) = 2 Reorder the terms: 3c(-1 + 3c) = 2 (-1 * 3c + 3c * 3c) = 2 (-3c + 9c2) = 2 Solving -3c + 9c2 = 2 Solving for variable 'c'. Reorder the terms: -2 + -3c + 9c2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -3c + 9c2 = 0 Factor a trinomial. (-1 + -3c)(2 + -3c) = 0Subproblem 1
Set the factor '(-1 + -3c)' equal to zero and attempt to solve: Simplifying -1 + -3c = 0 Solving -1 + -3c = 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 + -3c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3c = 0 + 1 -3c = 0 + 1 Combine like terms: 0 + 1 = 1 -3c = 1 Divide each side by '-3'. c = -0.3333333333 Simplifying c = -0.3333333333Subproblem 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 = {-0.3333333333, 0.6666666667}
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