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Simplifying 81c + -64c3 = 0 Solving 81c + -64c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(81 + -64c2) = 0 Factor a difference between two squares. c((9 + 8c)(9 + -8c)) = 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 '(9 + 8c)' equal to zero and attempt to solve: Simplifying 9 + 8c = 0 Solving 9 + 8c = 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 + 8c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8c = 0 + -9 8c = 0 + -9 Combine like terms: 0 + -9 = -9 8c = -9 Divide each side by '8'. c = -1.125 Simplifying c = -1.125Subproblem 3
Set the factor '(9 + -8c)' equal to zero and attempt to solve: Simplifying 9 + -8c = 0 Solving 9 + -8c = 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 + -8c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8c = 0 + -9 -8c = 0 + -9 Combine like terms: 0 + -9 = -9 -8c = -9 Divide each side by '-8'. c = 1.125 Simplifying c = 1.125Solution
c = {0, -1.125, 1.125}
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