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Simplifying 33f2 + 21f + -12 = 0 Reorder the terms: -12 + 21f + 33f2 = 0 Solving -12 + 21f + 33f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 7f + 11f2) = 0 Factor a trinomial. 3((-1 + -1f)(4 + -11f)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1f)' equal to zero and attempt to solve: Simplifying -1 + -1f = 0 Solving -1 + -1f = 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 + -1f = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1f = 0 + 1 -1f = 0 + 1 Combine like terms: 0 + 1 = 1 -1f = 1 Divide each side by '-1'. f = -1 Simplifying f = -1Subproblem 2
Set the factor '(4 + -11f)' equal to zero and attempt to solve: Simplifying 4 + -11f = 0 Solving 4 + -11f = 0 Move all terms containing f to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -11f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11f = 0 + -4 -11f = 0 + -4 Combine like terms: 0 + -4 = -4 -11f = -4 Divide each side by '-11'. f = 0.3636363636 Simplifying f = 0.3636363636Solution
f = {-1, 0.3636363636}
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