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Simplifying 14fa + -72a2 + f2 = 0 Solving 14af + -72a2 + f2 = 0 Solving for variable 'a'. Factor a trinomial. (-18a + -1f)(4a + -1f) = 0Subproblem 1
Set the factor '(-18a + -1f)' equal to zero and attempt to solve: Simplifying -18a + -1f = 0 Solving -18a + -1f = 0 Move all terms containing a to the left, all other terms to the right. Add 'f' to each side of the equation. -18a + -1f + f = 0 + f Combine like terms: -1f + f = 0 -18a + 0 = 0 + f -18a = 0 + f Remove the zero: -18a = f Divide each side by '-18'. a = -0.05555555556f Simplifying a = -0.05555555556fSubproblem 2
Set the factor '(4a + -1f)' equal to zero and attempt to solve: Simplifying 4a + -1f = 0 Solving 4a + -1f = 0 Move all terms containing a to the left, all other terms to the right. Add 'f' to each side of the equation. 4a + -1f + f = 0 + f Combine like terms: -1f + f = 0 4a + 0 = 0 + f 4a = 0 + f Remove the zero: 4a = f Divide each side by '4'. a = 0.25f Simplifying a = 0.25fSolution
a = {-0.05555555556f, 0.25f}
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