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Simplifying cd + -2d2 + c2 = 0 Reorder the terms: cd + c2 + -2d2 = 0 Solving cd + c2 + -2d2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -1d)(c + 2d) = 0Subproblem 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 + 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 = {d, -2d}
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