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Simplifying f2 + -21f + -22 = 0 Reorder the terms: -22 + -21f + f2 = 0 Solving -22 + -21f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (-1 + -1f)(22 + -1f) = 0Subproblem 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 '(22 + -1f)' equal to zero and attempt to solve: Simplifying 22 + -1f = 0 Solving 22 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1f = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1f = 0 + -22 -1f = 0 + -22 Combine like terms: 0 + -22 = -22 -1f = -22 Divide each side by '-1'. f = 22 Simplifying f = 22Solution
f = {-1, 22}
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