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Simplifying 4a2 + 20af + 25f2 = 0 Reorder the terms: 20af + 4a2 + 25f2 = 0 Solving 20af + 4a2 + 25f2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + 5f)(2a + 5f) = 0Subproblem 1
Set the factor '(2a + 5f)' equal to zero and attempt to solve: Simplifying 2a + 5f = 0 Solving 2a + 5f = 0 Move all terms containing a to the left, all other terms to the right. Add '-5f' to each side of the equation. 2a + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 2a + 0 = 0 + -5f 2a = 0 + -5f Remove the zero: 2a = -5f Divide each side by '2'. a = -2.5f Simplifying a = -2.5fSubproblem 2
Set the factor '(2a + 5f)' equal to zero and attempt to solve: Simplifying 2a + 5f = 0 Solving 2a + 5f = 0 Move all terms containing a to the left, all other terms to the right. Add '-5f' to each side of the equation. 2a + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 2a + 0 = 0 + -5f 2a = 0 + -5f Remove the zero: 2a = -5f Divide each side by '2'. a = -2.5f Simplifying a = -2.5fSolution
a = {-2.5f, -2.5f}
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