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Simplifying (11c + 9)(2c + -6) = 0 Reorder the terms: (9 + 11c)(2c + -6) = 0 Reorder the terms: (9 + 11c)(-6 + 2c) = 0 Multiply (9 + 11c) * (-6 + 2c) (9(-6 + 2c) + 11c * (-6 + 2c)) = 0 ((-6 * 9 + 2c * 9) + 11c * (-6 + 2c)) = 0 ((-54 + 18c) + 11c * (-6 + 2c)) = 0 (-54 + 18c + (-6 * 11c + 2c * 11c)) = 0 (-54 + 18c + (-66c + 22c2)) = 0 Combine like terms: 18c + -66c = -48c (-54 + -48c + 22c2) = 0 Solving -54 + -48c + 22c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + -24c + 11c2) = 0 Factor a trinomial. 2((-9 + -11c)(3 + -1c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -11c)' equal to zero and attempt to solve: Simplifying -9 + -11c = 0 Solving -9 + -11c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -11c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11c = 0 + 9 -11c = 0 + 9 Combine like terms: 0 + 9 = 9 -11c = 9 Divide each side by '-11'. c = -0.8181818182 Simplifying c = -0.8181818182Subproblem 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 = {-0.8181818182, 3}
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