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Simplifying 36a2 + -84af + 49f2 = 0 Reorder the terms: -84af + 36a2 + 49f2 = 0 Solving -84af + 36a2 + 49f2 = 0 Solving for variable 'a'. Factor a trinomial. (6a + -7f)(6a + -7f) = 0Subproblem 1
Set the factor '(6a + -7f)' equal to zero and attempt to solve: Simplifying 6a + -7f = 0 Solving 6a + -7f = 0 Move all terms containing a to the left, all other terms to the right. Add '7f' to each side of the equation. 6a + -7f + 7f = 0 + 7f Combine like terms: -7f + 7f = 0 6a + 0 = 0 + 7f 6a = 0 + 7f Remove the zero: 6a = 7f Divide each side by '6'. a = 1.166666667f Simplifying a = 1.166666667fSubproblem 2
Set the factor '(6a + -7f)' equal to zero and attempt to solve: Simplifying 6a + -7f = 0 Solving 6a + -7f = 0 Move all terms containing a to the left, all other terms to the right. Add '7f' to each side of the equation. 6a + -7f + 7f = 0 + 7f Combine like terms: -7f + 7f = 0 6a + 0 = 0 + 7f 6a = 0 + 7f Remove the zero: 6a = 7f Divide each side by '6'. a = 1.166666667f Simplifying a = 1.166666667fSolution
a = {1.166666667f, 1.166666667f}
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