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Simplifying 64c + -121c3 = 0 Solving 64c + -121c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(64 + -121c2) = 0 Factor a difference between two squares. c((8 + 11c)(8 + -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 '(8 + 11c)' equal to zero and attempt to solve: Simplifying 8 + 11c = 0 Solving 8 + 11c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11c = 0 + -8 11c = 0 + -8 Combine like terms: 0 + -8 = -8 11c = -8 Divide each side by '11'. c = -0.7272727273 Simplifying c = -0.7272727273Subproblem 3
Set the factor '(8 + -11c)' equal to zero and attempt to solve: Simplifying 8 + -11c = 0 Solving 8 + -11c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11c = 0 + -8 -11c = 0 + -8 Combine like terms: 0 + -8 = -8 -11c = -8 Divide each side by '-11'. c = 0.7272727273 Simplifying c = 0.7272727273Solution
c = {0, -0.7272727273, 0.7272727273}
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