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Simplifying 3c2 + 12cd + -15d2 = 0 Reorder the terms: 12cd + 3c2 + -15d2 = 0 Solving 12cd + 3c2 + -15d2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(4cd + c2 + -5d2) = 0 Factor a trinomial. 3((c + -1d)(c + 5d)) = 0 Ignore the factor 3.Subproblem 1
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 = dSubproblem 2
Set the factor '(c + 5d)' equal to zero and attempt to solve: Simplifying c + 5d = 0 Solving c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 c + 0 = 0 + -5d c = 0 + -5d Remove the zero: c = -5d Simplifying c = -5dSolution
c = {d, -5d}
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