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Simplifying a2 + -3af + -54f2 = 0 Reorder the terms: -3af + a2 + -54f2 = 0 Solving -3af + a2 + -54f2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -9f)(a + 6f) = 0Subproblem 1
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 = 9fSubproblem 2
Set the factor '(a + 6f)' equal to zero and attempt to solve: Simplifying a + 6f = 0 Solving a + 6f = 0 Move all terms containing a to the left, all other terms to the right. Add '-6f' to each side of the equation. a + 6f + -6f = 0 + -6f Combine like terms: 6f + -6f = 0 a + 0 = 0 + -6f a = 0 + -6f Remove the zero: a = -6f Simplifying a = -6fSolution
a = {9f, -6f}
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