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Simplifying 3c4 + 24c3d + 48c2d2 = 0 Reorder the terms: 48c2d2 + 24c3d + 3c4 = 0 Solving 48c2d2 + 24c3d + 3c4 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c2'. 3c2(16d2 + 8cd + c2) = 0 Factor a trinomial. 3c2((4d + c)(4d + c)) = 0 Ignore the factor 3.Subproblem 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 '(4d + c)' equal to zero and attempt to solve: Simplifying 4d + c = 0 Reorder the terms: c + 4d = 0 Solving c + 4d = 0 Move all terms containing c to the left, all other terms to the right. Add '-4d' to each side of the equation. c + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 c + 0 = 0 + -4d c = 0 + -4d Remove the zero: c = -4d Simplifying c = -4dSubproblem 3
Set the factor '(4d + c)' equal to zero and attempt to solve: Simplifying 4d + c = 0 Reorder the terms: c + 4d = 0 Solving c + 4d = 0 Move all terms containing c to the left, all other terms to the right. Add '-4d' to each side of the equation. c + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 c + 0 = 0 + -4d c = 0 + -4d Remove the zero: c = -4d Simplifying c = -4dSolution
c = {0, -4d, -4d}
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