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Simplifying (11c + 5)(6c + -18) = 0 Reorder the terms: (5 + 11c)(6c + -18) = 0 Reorder the terms: (5 + 11c)(-18 + 6c) = 0 Multiply (5 + 11c) * (-18 + 6c) (5(-18 + 6c) + 11c * (-18 + 6c)) = 0 ((-18 * 5 + 6c * 5) + 11c * (-18 + 6c)) = 0 ((-90 + 30c) + 11c * (-18 + 6c)) = 0 (-90 + 30c + (-18 * 11c + 6c * 11c)) = 0 (-90 + 30c + (-198c + 66c2)) = 0 Combine like terms: 30c + -198c = -168c (-90 + -168c + 66c2) = 0 Solving -90 + -168c + 66c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6'. 6(-15 + -28c + 11c2) = 0 Factor a trinomial. 6((-5 + -11c)(3 + -1c)) = 0 Ignore the factor 6.Subproblem 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 '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 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 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {-0.4545454545, 3}
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