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Simplifying c(13c + 5) = 8 Reorder the terms: c(5 + 13c) = 8 (5 * c + 13c * c) = 8 (5c + 13c2) = 8 Solving 5c + 13c2 = 8 Solving for variable 'c'. Reorder the terms: -8 + 5c + 13c2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 5c + 13c2 = 0 Factor a trinomial. (-1 + -1c)(8 + -13c) = 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 + -13c)' equal to zero and attempt to solve: Simplifying 8 + -13c = 0 Solving 8 + -13c = 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 + -13c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -13c = 0 + -8 -13c = 0 + -8 Combine like terms: 0 + -8 = -8 -13c = -8 Divide each side by '-13'. c = 0.6153846154 Simplifying c = 0.6153846154Solution
c = {-1, 0.6153846154}
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