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Simplifying 6c2 + 18cd + 12d2 = 0 Reorder the terms: 18cd + 6c2 + 12d2 = 0 Solving 18cd + 6c2 + 12d2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6'. 6(3cd + c2 + 2d2) = 0 Factor a trinomial. 6((c + d)(c + 2d)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(c + d)' equal to zero and attempt to solve: Simplifying 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 2
Set the factor '(c + 2d)' equal to zero and attempt to solve: Simplifying 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 = {-1d, -2d}
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