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Simplifying 8c3 = 128c Solving 8c3 = 128c Solving for variable 'c'. Reorder the terms: -128c + 8c3 = 128c + -128c Combine like terms: 128c + -128c = 0 -128c + 8c3 = 0 Factor out the Greatest Common Factor (GCF), '8c'. 8c(-16 + c2) = 0 Factor a difference between two squares. 8c((4 + c)(-4 + c)) = 0 Ignore the factor 8.Subproblem 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 '(4 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -4Subproblem 3
Set the factor '(-4 + c)' equal to zero and attempt to solve: Simplifying -4 + c = 0 Solving -4 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + c = 0 + 4 c = 0 + 4 Combine like terms: 0 + 4 = 4 c = 4 Simplifying c = 4Solution
c = {0, -4, 4}
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