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Simplifying 16c3 + -64cd2 = 0 Reorder the terms: -64cd2 + 16c3 = 0 Solving -64cd2 + 16c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '16c'. 16c(-4d2 + c2) = 0 Factor a difference between two squares. 16c((2d + c)(-2d + c)) = 0 Ignore the factor 16.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 '(2d + c)' equal to zero and attempt to solve: Simplifying 2d + c = 0 Reorder the terms: c + 2d = 0 Solving c + 2d = 0 Move all terms containing c to the left, all other terms to the right. Add '-2d' to each side of the equation. c + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 c + 0 = 0 + -2d c = 0 + -2d Remove the zero: c = -2d Simplifying c = -2dSubproblem 3
Set the factor '(-2d + c)' equal to zero and attempt to solve: Simplifying -2d + c = 0 Reorder the terms: c + -2d = 0 Solving c + -2d = 0 Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 c + 0 = 0 + 2d c = 0 + 2d Remove the zero: c = 2d Simplifying c = 2dSolution
c = {0, -2d, 2d}
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