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