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Simplifying c(64c2 + -9) = 0 Reorder the terms: c(-9 + 64c2) = 0 (-9 * c + 64c2 * c) = 0 (-9c + 64c3) = 0 Solving -9c + 64c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-9 + 64c2) = 0 Factor a difference between two squares. c((3 + 8c)(-3 + 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 '(3 + 8c)' equal to zero and attempt to solve: Simplifying 3 + 8c = 0 Solving 3 + 8c = 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 + 8c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8c = 0 + -3 8c = 0 + -3 Combine like terms: 0 + -3 = -3 8c = -3 Divide each side by '8'. c = -0.375 Simplifying c = -0.375Subproblem 3
Set the factor '(-3 + 8c)' equal to zero and attempt to solve: Simplifying -3 + 8c = 0 Solving -3 + 8c = 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 + 8c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8c = 0 + 3 8c = 0 + 3 Combine like terms: 0 + 3 = 3 8c = 3 Divide each side by '8'. c = 0.375 Simplifying c = 0.375Solution
c = {0, -0.375, 0.375}
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