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