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Simplifying (11c + 9)(2c + -3) = 0 Reorder the terms: (9 + 11c)(2c + -3) = 0 Reorder the terms: (9 + 11c)(-3 + 2c) = 0 Multiply (9 + 11c) * (-3 + 2c) (9(-3 + 2c) + 11c * (-3 + 2c)) = 0 ((-3 * 9 + 2c * 9) + 11c * (-3 + 2c)) = 0 ((-27 + 18c) + 11c * (-3 + 2c)) = 0 (-27 + 18c + (-3 * 11c + 2c * 11c)) = 0 (-27 + 18c + (-33c + 22c2)) = 0 Combine like terms: 18c + -33c = -15c (-27 + -15c + 22c2) = 0 Solving -27 + -15c + 22c2 = 0 Solving for variable 'c'. Factor a trinomial. (-9 + -11c)(3 + -2c) = 0Subproblem 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 + -2c)' equal to zero and attempt to solve: Simplifying 3 + -2c = 0 Solving 3 + -2c = 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 + -2c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2c = 0 + -3 -2c = 0 + -3 Combine like terms: 0 + -3 = -3 -2c = -3 Divide each side by '-2'. c = 1.5 Simplifying c = 1.5Solution
c = {-0.8181818182, 1.5}
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