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Simplifying 36c + -121c3 = 0 Solving 36c + -121c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(36 + -121c2) = 0 Factor a difference between two squares. c((6 + 11c)(6 + -11c)) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(6 + 11c)' equal to zero and attempt to solve: Simplifying 6 + 11c = 0 Solving 6 + 11c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11c = 0 + -6 11c = 0 + -6 Combine like terms: 0 + -6 = -6 11c = -6 Divide each side by '11'. c = -0.5454545455 Simplifying c = -0.5454545455Subproblem 3
Set the factor '(6 + -11c)' equal to zero and attempt to solve: Simplifying 6 + -11c = 0 Solving 6 + -11c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -11c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -11c = 0 + -6 -11c = 0 + -6 Combine like terms: 0 + -6 = -6 -11c = -6 Divide each side by '-11'. c = 0.5454545455 Simplifying c = 0.5454545455Solution
c = {0, -0.5454545455, 0.5454545455}
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