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Simplifying c2 + 13cd + 30d2 = 0 Reorder the terms: 13cd + c2 + 30d2 = 0 Solving 13cd + c2 + 30d2 = 0 Solving for variable 'c'. Factor a trinomial. (c + 3d)(c + 10d) = 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 + 10d)' equal to zero and attempt to solve: Simplifying c + 10d = 0 Solving c + 10d = 0 Move all terms containing c to the left, all other terms to the right. Add '-10d' to each side of the equation. c + 10d + -10d = 0 + -10d Combine like terms: 10d + -10d = 0 c + 0 = 0 + -10d c = 0 + -10d Remove the zero: c = -10d Simplifying c = -10dSolution
c = {-3d, -10d}
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