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Simplifying 48c3 + -3c = 0 Reorder the terms: -3c + 48c3 = 0 Solving -3c + 48c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c'. 3c(-1 + 16c2) = 0 Factor a difference between two squares. 3c((1 + 4c)(-1 + 4c)) = 0 Ignore the factor 3.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 + 4c)' equal to zero and attempt to solve: Simplifying 1 + 4c = 0 Solving 1 + 4c = 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 + 4c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4c = 0 + -1 4c = 0 + -1 Combine like terms: 0 + -1 = -1 4c = -1 Divide each side by '4'. c = -0.25 Simplifying c = -0.25Subproblem 3
Set the factor '(-1 + 4c)' equal to zero and attempt to solve: Simplifying -1 + 4c = 0 Solving -1 + 4c = 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 + 4c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4c = 0 + 1 4c = 0 + 1 Combine like terms: 0 + 1 = 1 4c = 1 Divide each side by '4'. c = 0.25 Simplifying c = 0.25Solution
c = {0, -0.25, 0.25}
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