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Simplifying a2 + 14af + 45f2 = 0 Reorder the terms: 14af + a2 + 45f2 = 0 Solving 14af + a2 + 45f2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 5f)(a + 9f) = 0Subproblem 1
Set the factor '(a + 5f)' equal to zero and attempt to solve: Simplifying a + 5f = 0 Solving a + 5f = 0 Move all terms containing a to the left, all other terms to the right. Add '-5f' to each side of the equation. a + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 a + 0 = 0 + -5f a = 0 + -5f Remove the zero: a = -5f Simplifying a = -5fSubproblem 2
Set the factor '(a + 9f)' equal to zero and attempt to solve: Simplifying a + 9f = 0 Solving a + 9f = 0 Move all terms containing a to the left, all other terms to the right. Add '-9f' to each side of the equation. a + 9f + -9f = 0 + -9f Combine like terms: 9f + -9f = 0 a + 0 = 0 + -9f a = 0 + -9f Remove the zero: a = -9f Simplifying a = -9fSolution
a = {-5f, -9f}
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