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Simplifying a2 + -1af + -132f2 = 0 Reorder the terms: -1af + a2 + -132f2 = 0 Solving -1af + a2 + -132f2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -12f)(a + 11f) = 0Subproblem 1
Set the factor '(a + -12f)' equal to zero and attempt to solve: Simplifying a + -12f = 0 Solving a + -12f = 0 Move all terms containing a to the left, all other terms to the right. Add '12f' to each side of the equation. a + -12f + 12f = 0 + 12f Combine like terms: -12f + 12f = 0 a + 0 = 0 + 12f a = 0 + 12f Remove the zero: a = 12f Simplifying a = 12fSubproblem 2
Set the factor '(a + 11f)' equal to zero and attempt to solve: Simplifying a + 11f = 0 Solving a + 11f = 0 Move all terms containing a to the left, all other terms to the right. Add '-11f' to each side of the equation. a + 11f + -11f = 0 + -11f Combine like terms: 11f + -11f = 0 a + 0 = 0 + -11f a = 0 + -11f Remove the zero: a = -11f Simplifying a = -11fSolution
a = {12f, -11f}
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