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Simplifying (c3 + 2c2d + cd2) = 0 Reorder the terms: (cd2 + 2c2d + c3) = 0 Remove parenthesis around (cd2 + 2c2d + c3) cd2 + 2c2d + c3 = 0 Solving cd2 + 2c2d + c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(d2 + 2cd + c2) = 0 Factor a trinomial. c((d + c)(d + c)) = 0Subproblem 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 '(d + c)' equal to zero and attempt to solve: Simplifying d + c = 0 Reorder the terms: c + d = 0 Solving c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 c + 0 = 0 + -1d c = 0 + -1d Remove the zero: c = -1d Simplifying c = -1dSubproblem 3
Set the factor '(d + c)' equal to zero and attempt to solve: Simplifying d + c = 0 Reorder the terms: c + d = 0 Solving c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 c + 0 = 0 + -1d c = 0 + -1d Remove the zero: c = -1d Simplifying c = -1dSolution
c = {0, -1d, -1d}
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