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