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Simplifying (11c + 5)(6c + -5) = 0 Reorder the terms: (5 + 11c)(6c + -5) = 0 Reorder the terms: (5 + 11c)(-5 + 6c) = 0 Multiply (5 + 11c) * (-5 + 6c) (5(-5 + 6c) + 11c * (-5 + 6c)) = 0 ((-5 * 5 + 6c * 5) + 11c * (-5 + 6c)) = 0 ((-25 + 30c) + 11c * (-5 + 6c)) = 0 (-25 + 30c + (-5 * 11c + 6c * 11c)) = 0 (-25 + 30c + (-55c + 66c2)) = 0 Combine like terms: 30c + -55c = -25c (-25 + -25c + 66c2) = 0 Solving -25 + -25c + 66c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -11c)(5 + -6c) = 0Subproblem 1
Set the factor '(-5 + -11c)' equal to zero and attempt to solve: Simplifying -5 + -11c = 0 Solving -5 + -11c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11c = 0 + 5 -11c = 0 + 5 Combine like terms: 0 + 5 = 5 -11c = 5 Divide each side by '-11'. c = -0.4545454545 Simplifying c = -0.4545454545Subproblem 2
Set the factor '(5 + -6c)' equal to zero and attempt to solve: Simplifying 5 + -6c = 0 Solving 5 + -6c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6c = 0 + -5 -6c = 0 + -5 Combine like terms: 0 + -5 = -5 -6c = -5 Divide each side by '-6'. c = 0.8333333333 Simplifying c = 0.8333333333Solution
c = {-0.4545454545, 0.8333333333}
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