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Simplifying 16a2 + 72af + 81f2 = 0 Reorder the terms: 72af + 16a2 + 81f2 = 0 Solving 72af + 16a2 + 81f2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + 9f)(4a + 9f) = 0Subproblem 1
Set the factor '(4a + 9f)' equal to zero and attempt to solve: Simplifying 4a + 9f = 0 Solving 4a + 9f = 0 Move all terms containing a to the left, all other terms to the right. Add '-9f' to each side of the equation. 4a + 9f + -9f = 0 + -9f Combine like terms: 9f + -9f = 0 4a + 0 = 0 + -9f 4a = 0 + -9f Remove the zero: 4a = -9f Divide each side by '4'. a = -2.25f Simplifying a = -2.25fSubproblem 2
Set the factor '(4a + 9f)' equal to zero and attempt to solve: Simplifying 4a + 9f = 0 Solving 4a + 9f = 0 Move all terms containing a to the left, all other terms to the right. Add '-9f' to each side of the equation. 4a + 9f + -9f = 0 + -9f Combine like terms: 9f + -9f = 0 4a + 0 = 0 + -9f 4a = 0 + -9f Remove the zero: 4a = -9f Divide each side by '4'. a = -2.25f Simplifying a = -2.25fSolution
a = {-2.25f, -2.25f}
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