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Simplifying f2 + 20f = 44 Reorder the terms: 20f + f2 = 44 Solving 20f + f2 = 44 Solving for variable 'f'. Reorder the terms: -44 + 20f + f2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + 20f + f2 = 0 Factor a trinomial. (-22 + -1f)(2 + -1f) = 0Subproblem 1
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 = -22Subproblem 2
Set the factor '(2 + -1f)' equal to zero and attempt to solve: Simplifying 2 + -1f = 0 Solving 2 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1f = 0 + -2 -1f = 0 + -2 Combine like terms: 0 + -2 = -2 -1f = -2 Divide each side by '-1'. f = 2 Simplifying f = 2Solution
f = {-22, 2}
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