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Simplifying 9f2 + -120f + 39 = 0 Reorder the terms: 39 + -120f + 9f2 = 0 Solving 39 + -120f + 9f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '3'. 3(13 + -40f + 3f2) = 0 Factor a trinomial. 3((1 + -3f)(13 + -1f)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -3f)' equal to zero and attempt to solve: Simplifying 1 + -3f = 0 Solving 1 + -3f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3f = 0 + -1 -3f = 0 + -1 Combine like terms: 0 + -1 = -1 -3f = -1 Divide each side by '-3'. f = 0.3333333333 Simplifying f = 0.3333333333Subproblem 2
Set the factor '(13 + -1f)' equal to zero and attempt to solve: Simplifying 13 + -1f = 0 Solving 13 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1f = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1f = 0 + -13 -1f = 0 + -13 Combine like terms: 0 + -13 = -13 -1f = -13 Divide each side by '-1'. f = 13 Simplifying f = 13Solution
f = {0.3333333333, 13}
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