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Simplifying c(5c + 17) = 12 Reorder the terms: c(17 + 5c) = 12 (17 * c + 5c * c) = 12 (17c + 5c2) = 12 Solving 17c + 5c2 = 12 Solving for variable 'c'. Reorder the terms: -12 + 17c + 5c2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 17c + 5c2 = 0 Factor a trinomial. (-4 + -1c)(3 + -5c) = 0Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve: Simplifying -4 + -1c = 0 Solving -4 + -1c = 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 + -1c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = 0 + 4 -1c = 0 + 4 Combine like terms: 0 + 4 = 4 -1c = 4 Divide each side by '-1'. c = -4 Simplifying c = -4Subproblem 2
Set the factor '(3 + -5c)' equal to zero and attempt to solve: Simplifying 3 + -5c = 0 Solving 3 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 0 + -3 -5c = 0 + -3 Combine like terms: 0 + -3 = -3 -5c = -3 Divide each side by '-5'. c = 0.6 Simplifying c = 0.6Solution
c = {-4, 0.6}
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