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Simplifying c(14c + 5) = 9 Reorder the terms: c(5 + 14c) = 9 (5 * c + 14c * c) = 9 (5c + 14c2) = 9 Solving 5c + 14c2 = 9 Solving for variable 'c'. Reorder the terms: -9 + 5c + 14c2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 5c + 14c2 = 0 Factor a trinomial. (-1 + -1c)(9 + -14c) = 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 '(9 + -14c)' equal to zero and attempt to solve: Simplifying 9 + -14c = 0 Solving 9 + -14c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14c = 0 + -9 -14c = 0 + -9 Combine like terms: 0 + -9 = -9 -14c = -9 Divide each side by '-14'. c = 0.6428571429 Simplifying c = 0.6428571429Solution
c = {-1, 0.6428571429}
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