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Simplifying 25a2 + -60af + 36f2 = 0 Reorder the terms: -60af + 25a2 + 36f2 = 0 Solving -60af + 25a2 + 36f2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -6f)(5a + -6f) = 0Subproblem 1
Set the factor '(5a + -6f)' equal to zero and attempt to solve: Simplifying 5a + -6f = 0 Solving 5a + -6f = 0 Move all terms containing a to the left, all other terms to the right. Add '6f' to each side of the equation. 5a + -6f + 6f = 0 + 6f Combine like terms: -6f + 6f = 0 5a + 0 = 0 + 6f 5a = 0 + 6f Remove the zero: 5a = 6f Divide each side by '5'. a = 1.2f Simplifying a = 1.2fSubproblem 2
Set the factor '(5a + -6f)' equal to zero and attempt to solve: Simplifying 5a + -6f = 0 Solving 5a + -6f = 0 Move all terms containing a to the left, all other terms to the right. Add '6f' to each side of the equation. 5a + -6f + 6f = 0 + 6f Combine like terms: -6f + 6f = 0 5a + 0 = 0 + 6f 5a = 0 + 6f Remove the zero: 5a = 6f Divide each side by '5'. a = 1.2f Simplifying a = 1.2fSolution
a = {1.2f, 1.2f}
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