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Simplifying c(11c + 3) = 8 Reorder the terms: c(3 + 11c) = 8 (3 * c + 11c * c) = 8 (3c + 11c2) = 8 Solving 3c + 11c2 = 8 Solving for variable 'c'. Reorder the terms: -8 + 3c + 11c2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 3c + 11c2 = 0 Factor a trinomial. (-1 + -1c)(8 + -11c) = 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 + -11c)' equal to zero and attempt to solve: Simplifying 8 + -11c = 0 Solving 8 + -11c = 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 + -11c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11c = 0 + -8 -11c = 0 + -8 Combine like terms: 0 + -8 = -8 -11c = -8 Divide each side by '-11'. c = 0.7272727273 Simplifying c = 0.7272727273Solution
c = {-1, 0.7272727273}
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