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Simplifying c(9c + 1) = 8 Reorder the terms: c(1 + 9c) = 8 (1 * c + 9c * c) = 8 (1c + 9c2) = 8 Solving 1c + 9c2 = 8 Solving for variable 'c'. Reorder the terms: -8 + 1c + 9c2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 1c + 9c2 = 0 Factor a trinomial. (-1 + -1c)(8 + -9c) = 0Subproblem 1
Set the factor '(-1 + -1c)' equal to zero and attempt to solve: Simplifying -1 + -1c = 0 Solving -1 + -1c = 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 + -1c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1c = 0 + 1 -1c = 0 + 1 Combine like terms: 0 + 1 = 1 -1c = 1 Divide each side by '-1'. c = -1 Simplifying c = -1Subproblem 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 = {-1, 0.8888888889}
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