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Simplifying a2 + -2af + f2 = 0 Reorder the terms: -2af + a2 + f2 = 0 Solving -2af + a2 + f2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -1f)(a + -1f) = 0Subproblem 1
Set the factor '(a + -1f)' equal to zero and attempt to solve: Simplifying a + -1f = 0 Solving a + -1f = 0 Move all terms containing a to the left, all other terms to the right. Add 'f' to each side of the equation. a + -1f + f = 0 + f Combine like terms: -1f + f = 0 a + 0 = 0 + f a = 0 + f Remove the zero: a = f Simplifying a = fSubproblem 2
Set the factor '(a + -1f)' equal to zero and attempt to solve: Simplifying a + -1f = 0 Solving a + -1f = 0 Move all terms containing a to the left, all other terms to the right. Add 'f' to each side of the equation. a + -1f + f = 0 + f Combine like terms: -1f + f = 0 a + 0 = 0 + f a = 0 + f Remove the zero: a = f Simplifying a = fSolution
a = {f, f}
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