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Simplifying c2 + -2cf + f2 = 0 Reorder the terms: -2cf + c2 + f2 = 0 Solving -2cf + c2 + f2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -1f)(c + -1f) = 0Subproblem 1
Set the factor '(c + -1f)' equal to zero and attempt to solve: Simplifying c + -1f = 0 Solving c + -1f = 0 Move all terms containing c to the left, all other terms to the right. Add 'f' to each side of the equation. c + -1f + f = 0 + f Combine like terms: -1f + f = 0 c + 0 = 0 + f c = 0 + f Remove the zero: c = f Simplifying c = fSubproblem 2
Set the factor '(c + -1f)' equal to zero and attempt to solve: Simplifying c + -1f = 0 Solving c + -1f = 0 Move all terms containing c to the left, all other terms to the right. Add 'f' to each side of the equation. c + -1f + f = 0 + f Combine like terms: -1f + f = 0 c + 0 = 0 + f c = 0 + f Remove the zero: c = f Simplifying c = fSolution
c = {f, f}
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