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Simplifying 40af + 50a2 + 8f2 = 0 Solving 40af + 50a2 + 8f2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(20af + 25a2 + 4f2) = 0 Factor a trinomial. 2((5a + 2f)(5a + 2f)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5a + 2f)' equal to zero and attempt to solve: Simplifying 5a + 2f = 0 Solving 5a + 2f = 0 Move all terms containing a to the left, all other terms to the right. Add '-2f' to each side of the equation. 5a + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 5a + 0 = 0 + -2f 5a = 0 + -2f Remove the zero: 5a = -2f Divide each side by '5'. a = -0.4f Simplifying a = -0.4fSubproblem 2
Set the factor '(5a + 2f)' equal to zero and attempt to solve: Simplifying 5a + 2f = 0 Solving 5a + 2f = 0 Move all terms containing a to the left, all other terms to the right. Add '-2f' to each side of the equation. 5a + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 5a + 0 = 0 + -2f 5a = 0 + -2f Remove the zero: 5a = -2f Divide each side by '5'. a = -0.4f Simplifying a = -0.4fSolution
a = {-0.4f, -0.4f}
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