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Simplifying c4 + -64c2 = 0 Reorder the terms: -64c2 + c4 = 0 Solving -64c2 + c4 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2'. c2(-64 + c2) = 0 Factor a difference between two squares. c2((8 + c)(-8 + c)) = 0Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(8 + c)' equal to zero and attempt to solve: Simplifying 8 + c = 0 Solving 8 + c = 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 + c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + c = 0 + -8 c = 0 + -8 Combine like terms: 0 + -8 = -8 c = -8 Simplifying c = -8Subproblem 3
Set the factor '(-8 + c)' equal to zero and attempt to solve: Simplifying -8 + c = 0 Solving -8 + c = 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 + c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + c = 0 + 8 c = 0 + 8 Combine like terms: 0 + 8 = 8 c = 8 Simplifying c = 8Solution
c = {0, -8, 8}
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