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Simplifying c2 + 8cd + 15d2 = 0 Reorder the terms: 8cd + c2 + 15d2 = 0 Solving 8cd + c2 + 15d2 = 0 Solving for variable 'c'. Factor a trinomial. (c + 3d)(c + 5d) = 0Subproblem 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 + 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 = {-3d, -5d}
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