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Simplifying a2 + -15af + 54f2 = 0 Reorder the terms: -15af + a2 + 54f2 = 0 Solving -15af + 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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