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Simplifying 3c2 + -12cd + 9d2 = 0 Reorder the terms: -12cd + 3c2 + 9d2 = 0 Solving -12cd + 3c2 + 9d2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(-4cd + c2 + 3d2) = 0 Factor a trinomial. 3((c + -3d)(c + -1d)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(c + -3d)' equal to zero and attempt to solve: Simplifying c + -3d = 0 Solving c + -3d = 0 Move all terms containing c to the left, all other terms to the right. Add '3d' to each side of the equation. c + -3d + 3d = 0 + 3d Combine like terms: -3d + 3d = 0 c + 0 = 0 + 3d c = 0 + 3d Remove the zero: c = 3d Simplifying c = 3dSubproblem 2
Set the factor '(c + -1d)' equal to zero and attempt to solve: Simplifying c + -1d = 0 Solving c + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. c + -1d + d = 0 + d Combine like terms: -1d + d = 0 c + 0 = 0 + d c = 0 + d Remove the zero: c = d Simplifying c = dSolution
c = {3d, d}
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