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Simplifying 3f2 + -32f + -11 = 0 Reorder the terms: -11 + -32f + 3f2 = 0 Solving -11 + -32f + 3f2 = 0 Solving for variable 'f'. Factor a trinomial. (-1 + -3f)(11 + -1f) = 0Subproblem 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 '(11 + -1f)' equal to zero and attempt to solve: Simplifying 11 + -1f = 0 Solving 11 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1f = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1f = 0 + -11 -1f = 0 + -11 Combine like terms: 0 + -11 = -11 -1f = -11 Divide each side by '-1'. f = 11 Simplifying f = 11Solution
f = {-0.3333333333, 11}
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