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Simplifying c2d2 + -4cd + 4 = 0 Reorder the terms: 4 + -4cd + c2d2 = 0 Solving 4 + -4cd + c2d2 = 0 Solving for variable 'c'. Factor a trinomial. (2 + -1cd)(2 + -1cd) = 0Subproblem 1
Set the factor '(2 + -1cd)' equal to zero and attempt to solve: Simplifying 2 + -1cd = 0 Solving 2 + -1cd = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1cd = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1cd = 0 + -2 -1cd = 0 + -2 Combine like terms: 0 + -2 = -2 -1cd = -2 Divide each side by '-1d'. c = 2d-1 Simplifying c = 2d-1Subproblem 2
Set the factor '(2 + -1cd)' equal to zero and attempt to solve: Simplifying 2 + -1cd = 0 Solving 2 + -1cd = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1cd = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1cd = 0 + -2 -1cd = 0 + -2 Combine like terms: 0 + -2 = -2 -1cd = -2 Divide each side by '-1d'. c = 2d-1 Simplifying c = 2d-1Solution
c = {2d-1, 2d-1}
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