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Simplifying 32c2 = 4c Solving 32c2 = 4c Solving for variable 'c'. Reorder the terms: -4c + 32c2 = 4c + -4c Combine like terms: 4c + -4c = 0 -4c + 32c2 = 0 Factor out the Greatest Common Factor (GCF), '4c'. 4c(-1 + 8c) = 0 Ignore the factor 4.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 '(-1 + 8c)' equal to zero and attempt to solve: Simplifying -1 + 8c = 0 Solving -1 + 8c = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8c = 0 + 1 8c = 0 + 1 Combine like terms: 0 + 1 = 1 8c = 1 Divide each side by '8'. c = 0.125 Simplifying c = 0.125Solution
c = {0, 0.125}
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